solving inequalities by addition & subtraction. objective: 7.5.03 essential question: how can we...
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Solving Inequalities by Addition & Subtraction
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Objective:7.5.03
Essential Question: How can we use inverse operations
to solve one step addition and subtraction inequalities?
Solving Inequalities by Addition & Subtraction
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Review:Solving Inequalities by Addition & Subtraction
<- is less
than
- is fewer than
>- is more
than
- is greater than
≤- is less
than or equal to
- is no more than
≥- is greater
than or equal to
- is no less than
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Real World:Brandi has $30 to spend on food and rides at a carnival. She has already spent $12 on food. Write an inequality and determine how much money she can spend on rides
Inequality: m + 12 ≤ 30m ≤ 18
Brandi can spend up to $18 on rides.
Solving Inequalities by Addition & Subtraction
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Example 1: Solve x + 3 > 9.
x + 3 > 9
Solving Inequalities by Addition & Subtraction
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Example 1: Solve x + 3 > 9.
x + 3 > 9 – 3 – 3
x > 6
Solving Inequalities by Addition & Subtraction
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Example 1: Solve x + 3 > 9.
x + 3 > 9 – 3 – 3
x > 6
4 5 6 7 8
Solving Inequalities by Addition & Subtraction
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Example 2: Solve x – 3 < 9.
x – 3 < 9
Solving Inequalities by Addition & Subtraction
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Example 2: Solve x – 3 < 9.
x – 3 < 9 + 3 + 3
x < 12
Solving Inequalities by Addition & Subtraction
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Example 2: Solve x – 3 < 9.
x – 3 < 9 + 3 + 3
x < 12
10 11 12 13 14
Solving Inequalities by Addition & Subtraction
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Example 3: Solve x + 3 ≥ – 9.
x + 3 ≥ – 9
Solving Inequalities by Addition & Subtraction
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Example 3: Solve x + 3 ≥ – 9.
x + 3 ≥ – 9 – 3 – 3
x ≥ – 12
Solving Inequalities by Addition & Subtraction
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Example 3: Solve x + 3 ≥ – 9.
x + 3 ≥ – 9 – 3 – 3
x ≥ – 12
-14 -13 -12 -11 -10
Solving Inequalities by Addition & Subtraction
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Example 4: Solve 12 + m ≤ 4.
12 + m ≤ 4
Solving Inequalities by Addition & Subtraction
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Example 4: Solve 12 + m ≤ 4.
12 + m ≤ 4 – 12 – 12
m ≤ – 8
Solving Inequalities by Addition & Subtraction
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Example 4: Solve 12 + m ≤ 4.
12 + m ≤ 4 – 12 – 12
m ≤ – 8
-10 -9 -8 -7 -6
Solving Inequalities by Addition & Subtraction
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Independent Practice:Write an inequality and graph.1. Two more than a number is less than eleven
2. Five less than a number is at least – 2
3. The difference between a number and ten is greater than 9
4. Four less than a number is less than 11
5. The sum of a number and seven is more than 1
Solving Inequalities by Addition & Subtraction
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Independent Practice:Answers.1. n < 9 1.
2. n ≥ 3 2.
3. n > 19 3.
4. n < 15 4.
5. n > – 6 5.
9
3
9
15
- 6
Solving Inequalities by Addition & Subtraction
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Independent Practice:Solve each equation below.
1. y + 8 ≤ 122. d + 11 > 303. 4 + a ≥ – 14. 5 < 1 + k5. h – 3 ≤ – 3
Solving Inequalities by Addition & Subtraction
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Independent Practice:Answers.
1. y + 8 ≤ 12 1.2. d + 11 > 30 2.3. 4 + a ≥ – 1 3.4. 5 < 1 + k 4.5. h – 3 ≤ – 3 5.
4
19
- 5
4
0
Solving Inequalities by Addition & Subtraction
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HOMEWORK
Solving Inequalities by Addition & Subtraction