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


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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. Addition Property of Inequality.

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How do you solve one-variable inequalities?

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How do you solve one variable inequalities

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


How do you solve one variable inequalities

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


How do you solve one variable inequalities

Addition Property of Inequality

2 + + 2

4 < 5

6 < 7

(-2) + + (-2)

4 < 5

2 < 3


How do you solve one variable inequalities

Multiplication Property of Inequality

2 xx 2

4 < 5

8 < 10

(-2) xx (-2)

4 < 5

-8 <-10

-8 > -10


How do you solve one variable inequalities

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


How do you solve one variable inequalities

x #

3x > 2x + 7

-2x -2x

Check:

x = 9

x > 7

9 > 7

3(9) > 2(9) + 7


How do you solve one variable inequalities

x #

-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


How do you solve one variable inequalities

In this lesson you have learned how to solve inequalities by using additive and multiplicative inverses.


How do you solve one variable inequalities

4x – 15 > -3(8 – 4x)


How do you solve one variable inequalities

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How do you solve one variable inequalities

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How do you solve one variable inequalities

5x + 23 < 3 – 4x + 2

4x – 7x + 2 > 4 + 5x


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