1.4 – solving absolute value equations
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1.4 – Solving Absolute Value Equations. 1.4 – Solving Absolute Value Equations. Absolute Value. 1.4 – Solving Absolute Value Equations. Absolute Value–unit value only. 1.4 – Solving Absolute Value Equations. Absolute Value–unit value only. 1.4 – Solving Absolute Value Equations. - PowerPoint PPT PresentationTRANSCRIPT
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1.4 – Solving Absolute Value Equations
![Page 2: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/2.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value
![Page 3: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/3.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only
![Page 4: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/4.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only
![Page 5: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/5.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
![Page 6: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/6.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5|
![Page 7: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/7.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5
![Page 8: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/8.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| =
![Page 9: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/9.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
![Page 10: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/10.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
![Page 11: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/11.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
1.4+|5y – 7|=
![Page 12: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/12.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
1.4+|5y – 7|=1.4
![Page 13: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/13.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
1.4+|5y – 7|=1.4 +
![Page 14: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/14.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
1.4+|5y – 7|=1.4 + |5
![Page 15: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/15.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
1.4+|5y – 7|=1.4 + |5(-3)
![Page 16: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/16.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
1.4+|5y – 7|=1.4 + |5(-3) – 7|
![Page 17: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/17.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
1.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4
![Page 18: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/18.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
1.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 +
![Page 19: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/19.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)
ex. |-5| = 5; |5| = 5
Example 1
Evaluate 1.4+|5y – 7| if y=-3
1.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 + |-15
![Page 20: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/20.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)ex. |-5| = 5; |5| = 5
Example 1 Evaluate 1.4+|5y – 7| if y=-31.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 + |-15 – 7|
![Page 21: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/21.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)ex. |-5| = 5; |5| = 5
Example 1 Evaluate 1.4+|5y – 7| if y=-31.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 + |-15 – 7| =1.4
![Page 22: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/22.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)ex. |-5| = 5; |5| = 5
Example 1 Evaluate 1.4+|5y – 7| if y=-31.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 + |-15 – 7| =1.4 +
![Page 23: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/23.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)ex. |-5| = 5; |5| = 5
Example 1 Evaluate 1.4+|5y – 7| if y=-31.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 + |-15 – 7| =1.4 + |-22|
![Page 24: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/24.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)ex. |-5| = 5; |5| = 5
Example 1 Evaluate 1.4+|5y – 7| if y=-31.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 + |-15 – 7| =1.4 + |-22| =1.4
![Page 25: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/25.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)ex. |-5| = 5; |5| = 5
Example 1 Evaluate 1.4+|5y – 7| if y=-31.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 + |-15 – 7| =1.4 + |-22| =1.4 +
![Page 26: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/26.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)ex. |-5| = 5; |5| = 5
Example 1 Evaluate 1.4+|5y – 7| if y=-31.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 + |-15 – 7| =1.4 + |-22| =1.4 + 22
![Page 27: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/27.jpg)
1.4 – Solving Absolute Value Equations
Absolute Value–unit value only (w/o signs)ex. |-5| = 5; |5| = 5
Example 1 Evaluate 1.4+|5y – 7| if y=-31.4+|5y – 7|=1.4 + |5(-3) – 7|
=1.4 + |-15 – 7| =1.4 + |-22| =1.4 + 22 = 23.4
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Example 2
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Example 2 Solve |x – 18| = 5.
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5 x – 18 = -5
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5 x – 18 = -5
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5 x – 18 = -5
+18 +18
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5 x – 18 = -5
+18 +18
x = 23
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5 x – 18 = -5
+18 +18 +18 +18
x = 23
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5 x – 18 = -5
+18 +18 +18 +18
x = 23 x = 13
![Page 41: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/41.jpg)
Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5 x – 18 = -5
+18 +18 +18 +18
x = 23 x = 13
Example 3
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5 x – 18 = -5
+18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0.
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Example 2 Solve |x – 18| = 5.
|x – 18| = 5
x – 18 = 5 x – 18 = -5
+18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0.
|5x – 6| + 9 = 0
![Page 44: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/44.jpg)
Example 2 Solve |x – 18| = 5. |x – 18| = 5
x – 18 = 5 x – 18 = -5 +18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0
-9 -9
![Page 45: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/45.jpg)
Example 2 Solve |x – 18| = 5. |x – 18| = 5
x – 18 = 5 x – 18 = -5 +18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0
-9 -9 |5x – 6| = -9
![Page 46: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/46.jpg)
Example 2 Solve |x – 18| = 5. |x – 18| = 5
x – 18 = 5 x – 18 = -5 +18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0
-9 -9 |5x – 6| = -9
Note:
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Example 2 Solve |x – 18| = 5. |x – 18| = 5
x – 18 = 5 x – 18 = -5 +18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0
-9 -9 |5x – 6| = -9
Note: Absolute value cannot equal a negative number!
![Page 48: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/48.jpg)
Example 2 Solve |x – 18| = 5. |x – 18| = 5
x – 18 = 5 x – 18 = -5 +18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0
-9 -9 |5x – 6| = -9
Note: Absolute value cannot equal a negative number!
![Page 49: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/49.jpg)
Example 2 Solve |x – 18| = 5. |x – 18| = 5
x – 18 = 5 x – 18 = -5 +18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0
-9 -9 |5x – 6| = -9
Note: Absolute value cannot equal a negative number!
![Page 50: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/50.jpg)
Example 2 Solve |x – 18| = 5. |x – 18| = 5
x – 18 = 5 x – 18 = -5 +18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0
-9 -9 |5x – 6| = -9
Note: Absolute value cannot equal a negative number!
![Page 51: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/51.jpg)
Example 2 Solve |x – 18| = 5. |x – 18| = 5
x – 18 = 5 x – 18 = -5 +18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0
-9 -9 |5x – 6| = -9
Note: Absolute value cannot equal a negative number!
![Page 52: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/52.jpg)
Example 2 Solve |x – 18| = 5. |x – 18| = 5
x – 18 = 5 x – 18 = -5 +18 +18 +18 +18
x = 23 x = 13
Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0
-9 -9 |5x – 6| = -9
Note: Absolute value cannot equal a negative number!
x = Ø
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Example 4
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Example 4 Solve |x + 6| = 3x – 2.
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
![Page 61: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/61.jpg)
Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 =
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x –
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Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x – (-2)
![Page 66: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/66.jpg)
Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x – (-2)
x + 6 = 3x – 2
![Page 67: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/67.jpg)
Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6
![Page 68: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/68.jpg)
Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x
![Page 69: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/69.jpg)
Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2
![Page 70: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/70.jpg)
Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2
-3x -3x
![Page 71: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/71.jpg)
Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2
-3x -3x
-2x + 6 = -2
![Page 72: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/72.jpg)
Example 4 Solve |x + 6| = 3x – 2.
|x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2)
x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2
-3x -3x
-2x + 6 = -2
- 6 -6
![Page 73: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/73.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x -2x + 6 = -2
- 6 -6-2x
![Page 74: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/74.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x -2x + 6 = -2
- 6 -6 -2x = -8
![Page 75: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/75.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x -2x + 6 = -2
- 6 -6 -2x = -8 -2 -2
![Page 76: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/76.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x -2x + 6 = -2
- 6 -6 -2x = -8 -2 -2 x = 4
![Page 77: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/77.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2
- 6 -6 -2x = -8 -2 -2 x = 4
![Page 78: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/78.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x
- 6 -6 -2x = -8 -2 -2 x = 4
![Page 79: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/79.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6
- 6 -6 -2x = -8 -2 -2 x = 4
![Page 80: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/80.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 -2x = -8 -2 -2 x = 4
![Page 81: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/81.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 - 6 -6-2x = -8 -2 -2 x = 4
![Page 82: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/82.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 x = 4
![Page 83: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/83.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4
![Page 84: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/84.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1
![Page 85: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/85.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1
![Page 86: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/86.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1
![Page 87: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/87.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1
![Page 88: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/88.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1
![Page 89: 1.4 – Solving Absolute Value Equations](https://reader036.vdocuments.us/reader036/viewer/2022062422/56813e8f550346895da8d9b2/html5/thumbnails/89.jpg)
Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2
x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)
x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2
- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1