# Lesson 3-2 -- Solving Inequalities using Addition & Subtraction - PowerPoint PPT Presentation

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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.

### Vocabulary & Properties

• equivalent inequalities – have same solutions

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

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