The document discusses solving absolute value inequalities. It provides examples of absolute value inequalities such as |x| < 2 and |x + 4| ≤ 10. It also shows the number line representations of these inequalities. The document outlines the steps to solve absolute value inequalities which include isolating the absolute value term and setting up the inequality appropriately based on whether it is <, >, or =. It provides practice problems for the reader to work through.

1. 4.5 abs value ineq..notebook September 26, 2012
4.5 Solving Absolute Value inequalities
|x| < 2 |x| > 3
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
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2. 4.5 abs value ineq..notebook September 26, 2012
| x + 4| ≤ 10 |4x + 1| > 5
­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5
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3. 4.5 abs value ineq..notebook September 26, 2012
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4. 4.5 abs value ineq..notebook September 26, 2012
Steps
1. Get | | to the left side
2. Get | | by itself
3. Set up problem
< > or =
in between set up as written
write second with
opposite sign and
number
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5. 4.5 abs value ineq..notebook September 26, 2012
4.5 page 201
# 21 + 22, 34 ­ 50 all, 68
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