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3.2 Solving Inequalities by Adding or Subtracting

Learn how to solve inequalities by adding or subtracting numbers. Explore equivalent inequalities and the properties of inequality. Practice solving examples to master this concept effectively.

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3.2 Solving Inequalities by Adding or Subtracting

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  1. 3.2 Solving Inequalities by Adding or Subtracting I can solve inequalities by adding or subtracting.

  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 • A school bus can carry as many as 76 students. If 19 are already on the bus, how many more can board? • Subtract 19 : s ≤ 57 • At most, 57 more students can board the bus.

  6. Assignment • ODDS Only • P. 106 # 7-33

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