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Lesson 3-2 -- Solving Inequalities using Addition & SubtractionPowerPoint Presentation

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 Subtraction

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

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 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 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 Subtraction

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

Example 3, page 142 Subtraction

- Ex. 3) Solve & graph t + 3 > 8.

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 Subtraction

- What did you learn today?

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 Subtraction

- #3-2, page 142
every 3rd 3–84, and

every 3rd 93-120

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