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4.2 Solving Inequalities using ADD or SUB

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4.2 – Solving Inequalities Goals / “I can…” Use addition to solve inequalities Use subtraction to solve inequalities

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1) Which inequality would have a closed dot on the number line? 1.> 2.< 3.≥ 4.≠ Answer Now

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2) Which inequality does NOT use an open dot on the number line? 1.≤ 2.< 3.> 4.≠ Answer Now

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4.2 – Solving Inequalities Solving an inequality (, ≤, ≥) is just like solving an equality (=). The concept of balancing a scale is the same.

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4.2 – Solving Inequalities Example: Solve x + 3 = -6

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4.2 – Solving Inequalities solve x + 3 < -6

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6) Solve x + (-14) < 16 x - 14 < 16 + 14 + 14 x < 30 30 + (-14) = 16 16 = 16 Solve this problem like an equation 1.Draw “the river” 2.Eliminate double signs 3.Add 14 to both sides 4.Simplify 5.Check your answer 6.Graph the solution o 303129

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7) Solve y + 21 ≥ 7 - 21 -21 y ≥ -14 (-14) + 21 = 7 7 = 7 1.Draw the “river” 2.Subtract 21 from both sides 3.Simplify 4.Check your answer 5.Graph the solution -14-13-15 ●

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8) Solve 8y + 3 > 9y - 14 o 171816 - 8y - 8y 3 > y - 14 + 14 + 14 17 > y y < 17 8(17) + 3 = 9(17) - 14 1.Draw “the river” 2.Subtract 8y from both sides 3.Simplify 4.Add 14 to both sides 5.Simplify 6.Rewrite inequality with the variable first 7.Check your answer 8.Graph the solution

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4.2 – Solving Inequalities Solve x – 4 = 12

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4.2 – Solving Inequalities solve x – 4 > 12

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