Lesson 3 2 solving inequalities using addition subtraction
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Lesson 3-2 -- Solving Inequalities using Addition & Subtraction. Objectives: To use addition and subtraction to solve inequalities. Real-World Connection. Solving inequalities can help with problems involving safe loads on chair lifts or fair rides, as seen in Example 4.

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Lesson 3-2 -- Solving Inequalities using Addition & Subtraction

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Lesson 3-2 -- Solving Inequalities using Addition & Subtraction

Objectives: To use addition and subtraction to solve inequalities.


Real-World Connection

  • Solving inequalities can help with problems involving safe loads on chair lifts or fair rides, as seen in Example 4.


STEPS(same as when solving equations)

  • Get variable on one side by itself by performing the inverse operation.

  • Graph the solution on a number line.

  • Verify your solution.


Vocabulary & Properties

  • equivalent inequalities – have same solutions

    for example: x + 4 < 7 and x < 3

  • Addition Property of Inequality

    For every real number a, b, and c,

    if a > b then a + c > b + c;

    if a < b then a + c < b + c.

  • Subtraction Property of Inequality

    For every real number a, b, and c,

    if a > b then a - c > b - c;

    if a < b then a - c < b - c.

    These properties are also true for < and >.


Example 1, page 140

  • Solve m – 6 > - 4 and graph the solution.

  • To check: Choose a number from your graphed solution and substitute it in the original inequality to verify you have solved correctly.


Example 2, page 141

  • Ex. 2) Solve n – 7 < -2 and graph the solution.


Example 3, page 142

  • Ex. 3) Solve & graph t + 3 > 8.


Example 4, page 142

  • Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought in 42 blankets on Monday and 65 on Wednesday. How many blankets must the team donate on Friday to make or exceed their goal?


Summary

  • What did you learn today?


Summary

  • How do I solve inequalities with addition and subtraction?

  • How do I graph the solution to the inequality?

  • How do I verify your solution?


ASSIGNMENT

  • #3-2, page 142

    every 3rd 3–84, and

    every 3rd 93-120


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