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

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

Objectives: To use addition and subtraction to solve inequalities.


Real world connection
Real-World Connection Subtraction

  • 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
STEPS Subtraction(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
Vocabulary & Properties Subtraction

  • 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
Example 1, page 140 Subtraction

  • 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
Example 2, page 141 Subtraction

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


Example 3 page 142
Example 3, page 142 Subtraction

  • Ex. 3) Solve & graph t + 3 > 8.


Example 4 page 142
Example 4, page 142 Subtraction

  • 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
Summary Subtraction

  • What did you learn today?


Summary1
Summary Subtraction

  • 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
ASSIGNMENT Subtraction

  • #3-2, page 142

    every 3rd 3–84, and

    every 3rd 93-120