1. Mrs.Volynskaya Algebra 2
Objective :Solving Absolute Value Inequalities
Definition: -a a
Definition: -a a

2. Keys to Solving Absolute Value Inequalities
GreatOR
Less ThAND OR
AND

3. GreatOR OR OR

4. Less ThAND
AND
AND

5. Solve the two cases independently.
Your Turn…
Solve | 2x + 3 | < 6.
Make two cases.
Solve the two cases independently.

6. Solve the two cases independently.
Your Turn…
Solve | 2x – 3 | > 5.
Make two cases.
Solve the two cases independently.

7. Think midpoint and distance.
Challenges…
Find the absolute-value inequality statement that corresponds to the inequality
–2 < x < 4.
HINT:
Think midpoint and distance.
Find the absolute-value inequality statement that corresponds to the inequalities
x < 19 or x > 24.

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