1.6 Equations & Inequalities Absolute Value

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College Algebra 1.6 Equations & Inequalities Involving Absolute Value

Absolute Value Equations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Solving Absolute Value Equations ,[object Object],[object Object],[object Object],[object Object],If a is a positive real number and if u is any algebraic expression, then

c) │x - 5│ = 17. d) │ │ = 1.

Solving Absolute Value Inequalities ( Less Than ) First plot the solutions.

[object Object],Solving Absolute Value Inequalities ( Less Than ) 1. Write: –c ≤ ax + b ≤ c 2. Solve the compound inequality.

Solving Absolute Value Inequalities ( Greater Than ) First plot the solutions.

[object Object],Solving Absolute Value Inequalities ( Greater Than ) 1. Write: ax + b ≥ c OR ax + b ≤ -c 2. Solve each inequality.

Review Absolute Value Inequalities ,[object Object],[object Object],[object Object],[object Object],[object Object]

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1.6 Equations & Inequalities Absolute Value

1. College Algebra 1.6 Equations & Inequalities Involving Absolute Value

2.

3.

4. c) │x - 5│ = 17. d) │ │ = 1.

5. Solving Absolute Value Inequalities ( Less Than ) First plot the solutions.

6.

7. Solving Absolute Value Inequalities ( Greater Than ) First plot the solutions.

8.

9.