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3.6 & 3.7 Solving Simple One Step Inequalities < > < >

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Solving Inequalities by using Addition and Subtraction Treat them the same way as equations x + 3 > –5 –3 x > –8 –9 8 –7 6 5 4 3 2 1 0 1 2 3 4 5 m – 4 ≥ –2 + 4 m ≥ 2 –1 0 1 2 3 4 5 6 7 8 9 10 11 12

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Solving Inequalities by Multiplying and Dividing Treat the same as equations Except When you multiply (or divide) both sides of an inequality by a negative number, you must reverse the inequality symbol to make the statement true. 48 12 < a4a4 4 12 < 4 a4a4 –3 > a or a < -3 12 ≤ –4a ≥ –4a –4 12 –4

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w – 8 ≥ –3 + 8 w ≥ 5 Give it a try c + 6 ≤ –1 – 6 c ≤ –7 48 12 < a4a4 4 12 < 4 a4a4 b ≥ –5 –9b ≤ 45 ≥ 45 –9 –9b –9

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Solving Equations with Brackets or Fractions. Single Bracket Solve 3(x + 4) = 24 3x + 12 = 24 3x + 12 – 12 = 24 -12 3x = 12 x = 4 Multiply brackets out.

Solving Equations with Brackets or Fractions. Single Bracket Solve 3(x + 4) = 24 3x + 12 = 24 3x + 12 – 12 = 24 -12 3x = 12 x = 4 Multiply brackets out.

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