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Solving One-Step Inequalities 763542 8

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Objective: To solve one-step inequalities using properties for inequalities Solving One-Step Inequalities

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What are the Properties for Inequalities? Are they the same as for regular equations?

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Addition Property for Inequalities X-15<73 X-15+15<73+15 X<88 Add 15 to both sides

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Solving One-Step Inequalities Subtraction Property for Inequalities y+15<25 Y+15-15<25-15 y<10 Subtract 15 from both sides

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Solving One-Step Inequalities Multiplication Property for Inequalities Multiply both sides by the reciprocal of the coefficient

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Solving One-Step Inequalities Division Property for Inequalities Divide both sides by the coefficient of x

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Division Property for Inequalities Caution! Dividing by a negative number Notice: Sign CHANGED Same if multiplying?

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Multiplication Property for Inequalities Caution! When you multiply by a negative number… …the sign CHANGES YES ! -x > 2 5 (-5 )-x > 2(-5) 1 5 x < -10

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Solving One-Step Inequalities Lets try some on our own …… ready?

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Solving One-Step Inequalities 1

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1. x 1 2. 8 x or x 8 3. x 5 4. x > 4 Answers for #1 - #4

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Solving One-Step Inequalities 5

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Answers for #5 - #8 5. x -6 5. x -6 6. 21 21 6. 21 21 7. x 2 7. x 2 8. x > 15 8. x > 15

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Please take out a piece of paper and write down what the steps are for solving a one-step inequality Reflection

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Solving One-Step Inequalities Excellent Job !!! Well Done

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Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.

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