Warm Up

Solve and graph the following inequalities:

1) or

Solve and Graph Absolute Value Inequalities

Essential Question: How do you solve an absolute value inequality?

Key ConceptSolve and Graph Absolute Value

Inequalities

Step 1: _________________________________

Step 2: _________________________________

Step 3: _________________________________

Step 4: _________________________________

Step 5: _________________________________

Example 1

|𝑥|<3

Example 2

|𝑥|≤−1

Example 3

|2 𝑥+3|≤7

Example 4

|2 𝑥−1|>5

Example 5

|−2𝑥+1|>−3

Example 6

|4 𝑥+3|≥9

Example 7

|5 𝑥+1|<−7

Example 8

−2|𝑥−4|+3≤−9

Essential Question

How do you solve an absolute value

inequality?