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3-82.

Solve the following absolute value inequalities.

$| x - 4 | < 9$
Hint (a):
See problem 3-75 for the steps needed to solve these inequalities.
Answer (a):
$−5<x<13$

$\left|\frac{1}{2}x-45\right|\ge80$
Hint (b):
See part (a).
Answer (b):
$x\ge250$ or $x\le−70$

$| 2 x - 5 | \leq 2$

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