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3.2 Solving Inequalities Using Addition or Subtraction

3.2 Solving Inequalities Using Addition or Subtraction. I can use addition or subtraction to solve inequalities. Equivalent Inequalities. Just as you used properties of equality, you can use properties of inequality. Equivalent inequalities are inequalities that have the same solutions.

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3.2 Solving Inequalities Using Addition or Subtraction

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  1. 3.2 Solving Inequalities Using Addition or Subtraction I can use addition or subtraction to solve inequalities.

  2. Equivalent Inequalities • Just as you used properties of equality, you can use properties of inequality. • Equivalent inequalities are inequalities that have the same solutions.

  3. Addition and Subtraction Properties of Inequality • If a < b • a + c < b + c • a - c < b - c • If a > b • a + c > b + c • a - c > b - c

  4. Examples • x – 15 > -12 • x – 15 + 15 > -12 + 15 • x > 3 • t + 6 > - 4

  5. Writing and Solving • The hard drive on your computer has a capacity of 120 GB. You have used 85 GB and want to save some home videos to your hard drive . What are the possible sizes of the home video collection you can save? • Subtract 85: v ≤ 35 • The home videos can be any size less than or equal to 35 GB.

  6. Assignment • ODDS Only • P. 174 #19-27, 33-43, 55-61

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