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**To graph and solve linear inequalities**

Objective: To graph and solve linear inequalities

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**To solve multi-step linear inequalities**

Objective: To solve multi-step linear inequalities

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**Review y > -6 y > 4 y ≤ -9 1. -2y – 5 < 7 2. 3y – 5 > 7**

Write the linear inequality for all real numbers greater than or equal to 4. Write the verbal phrase that describes x ≤ -2. Is the number 4.78 a solution of x < 5? Is the number 6 a solution of x < 6? Solve the inequality 5 – 2x ≥ 3. Then graph it. 1. -2y – 5 < 7 y > -6 2. 3y – 5 > 7 y > 4 3. -2y + 3 ≥ 21 y ≤ -9

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**Multi steps Inequalities**

Solving and Graphing INEQUALITIES

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**Solving Multi step Inequalities**

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YOUR TURN

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With Fractions

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**Variables on both sides**

-3f - 7 ≥ -f + 9 Add f on both sides +f f -2f - 7 ≥ Add 7 on both sides -2f ≥ divide -2 on both sides f ≤ -8

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Your turn X > 0 X ≤ 2 X > 40 y < 20 y ≤ 8 y ≤ 9

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Solve an inequality using multiplication EXAMPLE 2 < 7< 7 x –6 Write original inequality. Multiply each side by –6. Reverse inequality symbol. x > –42.

Solve an inequality using multiplication EXAMPLE 2 < 7< 7 x –6 Write original inequality. Multiply each side by –6. Reverse inequality symbol. x > –42.

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