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Unit 1a review of basic algebra.notebook 1 September 20, 2016 May 101:44 PM WU 1.7 Solving Inequalities AGENDA Lesson 1.9 1) HW out! 2) Complete WU 1.8 3) Review HW 4) Review WU 1.7 5) Today Inequalities Objectives for today's lesson: Recognize and solve an inequality. (2, ∞) (∞. 3] [1, ∞) (∞, 0) x<0 [2, ∞) (2, 3] (2, 2) x ≥ 2 2 < x < 2 2 < x ≤ 0 x<4 ∞ < x < ∞ ( ] [ ( ] ) ( ] May 1012:48 PM Students will be able to recognize and solve an inequality. ,V WKLV DQ H[SUHVVLRQ RU HTXDWLRQ" [ ! 1HLWKHU ,WV DQ LQHTXDOLW\ &DQ \RX VROYH WKLV LQHTXDOLW\"

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Page 1: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.9... · Unit 1a review of basic algebra.notebook 5 September 20, 2016 May 1012:48 PM Students

Unit 1­a review of basic algebra.notebook

1

September 20, 2016

May 10­1:44 PM

WU 1.7

Solving Inequalities

AGENDA ­ Lesson 1.9

1) HW out!

2) Complete WU 1.8

3) Review HW 

4) Review WU 1.7

5) Today ­ Inequalities

 Objectives for today's lesson:• Recognize and solve an

inequality.

(2, ∞)(­∞. ­3]

[­1, ∞)(­∞, 0)x < 0[­2, ∞)

(­2, 3](­2, 2)

x ≥ ­2

­2 < x < 2

­2 < x ≤ 0

x < 4

­∞ < x < ∞

(

]

[

( ]

)

( ]

May 10­12:48 PM

Students will be able to recognize and solve an inequality.

Is this an expression or equation?

‐3x > 9

Neither!!! It's an inequality.

Can you solve this inequality?

Page 2: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.9... · Unit 1a review of basic algebra.notebook 5 September 20, 2016 May 1012:48 PM Students

Unit 1­a review of basic algebra.notebook

2

September 20, 2016

May 10­12:48 PM

‐3x > 9

x > ‐3

Let's check your answer. Pick a number

greater than ‐3 and substitute it in and see if it works.

Students will be able to recognize and solve an inequality.

Is this inequality

 solved correctly

?

May 10­12:48 PM

When you multiply or divide by a negative number, you MUST switch the

inequality symbol.

‐3x > 9

x < ‐3

Notice the inequaltiy symbol has changed direction.

Students will be able to recognize and solve an inequality.

Page 3: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.9... · Unit 1a review of basic algebra.notebook 5 September 20, 2016 May 1012:48 PM Students

Unit 1­a review of basic algebra.notebook

3

September 20, 2016

May 10­12:48 PM

Students will be able to recognize and solve an inequality.

­6x + 8 > ­2Solve the following inequality:

Can you explain what your

answer means?

May 10­12:48 PM

Solve the following inequality and write your answer interval notation:

Can you explain what your

answer means?

 ­9 > 10 + 8x

Students will be able to recognize and solve an inequality.

Page 4: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.9... · Unit 1a review of basic algebra.notebook 5 September 20, 2016 May 1012:48 PM Students

Unit 1­a review of basic algebra.notebook

4

September 20, 2016

May 10­12:48 PM

Students will be able to recognize and solve an inequality.

­2 > ­6x + 7

Solve the following inequality and write your answer interval notation:

May 10­12:48 PM

Let's try to solve an inequality and write the answer using interval notation.

Students will be able to write the answer to an inequaltiy in interval notation.

Page 5: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.9... · Unit 1a review of basic algebra.notebook 5 September 20, 2016 May 1012:48 PM Students

Unit 1­a review of basic algebra.notebook

5

September 20, 2016

May 10­12:48 PM

Students will be able to write the answer to an inequaltiy in interval notation.

Solve the following inequalities and write your answer in interval notation.

May 10­12:48 PM

Let's try to solve an inequality and write the answer using interval notation.

10x - 7 > 4x + 35

Students will be able to write the answer to an inequaltiy in interval notation.

Page 6: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.9... · Unit 1a review of basic algebra.notebook 5 September 20, 2016 May 1012:48 PM Students

Unit 1­a review of basic algebra.notebook

6

September 20, 2016

May 10­12:48 PM

Let's try to solve an inequality and write the answer in interval notation.

Students will be able to write the answer to an inequaltiy in interval notation.

May 10­12:48 PM

Solve the following inequality and write your answer in interval notation.

-4(x - 2) > -3(x + 1)

Students will be able to write the answer to an inequaltiy in interval notation.

Page 7: Unit 1-a review of basic algebra.notebookmrwyan.weebly.com/uploads/5/9/6/0/59603853/1.9... · Unit 1a review of basic algebra.notebook 5 September 20, 2016 May 1012:48 PM Students

Unit 1­a review of basic algebra.notebook

7

September 20, 2016

May 10­1:47 PM

Express each interval as an inequality using x as a variable. 

Express the inequality in Interval NotationHW: 1-15

1)

2)

3)

4)

5)

6)

7)

8)

May 10­1:47 PM

HW: 1-159)

10)

11)

12)

13)

14)

15)