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How do you solve one-variable inequalities?PowerPoint Presentation

How do you solve one-variable inequalities?

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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.

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…

- Describe another extension activity here… may mean that you need to switch the direction of the inequality sign.

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

4x – 7x + 2 > 4 + 5x

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