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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?
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