# Absolute Value Inequalities Worksheet - PowerPoint by xal58286

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```									   3.6 Absolute Value Equations and Inequalities
(Cont.) 12/2/08
• Solving Absolute Value Inequalities

– To solve an inequality in the form | A | < b, where A
is a variable expression and b > 0, solve
-b < A < b.

– To solve an inequality in the form | A | > b, where A
is a variable expression and b > 0, solve
A < -b or A > b.

– Similar rules are true for | A | ≤ b or | A | ≥ b.
Solving an Absolute Value Inequality
• Solve | v – 3 | ≥ 4.

v – 3 ≤ -4                 v–3≥4
+ 3 +3                    + 3 +3
v ≤ -1                    v≥7

So, v ≤ -1 OR v ≥ 7.

-7   -5   -3   -1   1    3   5    7   9
Solving an Absolute Value Inequality
• Solve | x + 3 | < 5.

-5<x+3<5
-5 < x + 3                       x+3<5
-3     - 3                        - 3 -3
-8 < x                           x <2

So, -8 < x < 2.

-10   -8   -6    -4   -2     0   2   4   6   8   10
More Practice!!!!
• Textbook – p. 170 # 24 – 34 even, 38 – 50
even.
• Homework – Finish worksheet 3.6

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