1 / 12

# How do you solve one-variable inequalities? - PowerPoint PPT Presentation

How do you solve one-variable inequalities?. For example, how do you know what values of x make the following inequality true?. -4(x – 5) > 2x + 10 . In this lesson you will learn how to solve inequalities by using additive and multiplicative inverses. Addition Property of Inequality.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' How do you solve one-variable inequalities?' - deion

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

For example, how do you know what values of x make the following inequality true?

-4(x – 5) > 2x + 10

In this lesson you will learn how to solve inequalities by using additive and multiplicative inverses.

2 + + 2

4 < 5

6 < 7

(-2) + + (-2)

4 < 5

2 < 3

2 xx 2

4 < 5

8 < 10

(-2) xx (-2)

4 < 5

-8 <-10

-8 > -10

Forgetting that the multiplication property of inequality may mean that you need to switch the direction of the inequality sign.

x-

1

1

-4x > 16

4

4

x-

x < -4

x may mean that you need to switch the direction of the inequality sign. #

3x > 2x + 7

-2x -2x

Check:

x = 9

x > 7

9 > 7

3(9) > 2(9) + 7

x may mean that you need to switch the direction of the inequality sign. #

-4(x – 5) < 2x + 8

Check:

-4x + 20 < 2x + 8

x-

-20 -20

x = 5

-4x < 2x - 12

5 > 2

1

1

-2x -2x

6

6

-4(5 – 5) < 2(5) + 10

-6x < -12

x-

x > 2

In this lesson you may mean that you need to switch the direction of the inequality sign. have learned how to solve inequalities by using additive and multiplicative inverses.

4x – 15 > -3(8 – 4x) may mean that you need to switch the direction of the inequality sign.

Please add extension activity may mean that you need to switch the direction of the inequality sign.

• Describe one extension activity here…

5x + 23 < 3 – 4x + 2 may mean that you need to switch the direction of the inequality sign.

4x – 7x + 2 > 4 + 5x