Linear Absolute Value Inequalities - # 2

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Jason
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\(ex. a\)

\(| 4 + x | \leq 1 \)

\(-1 \leq 4 + x \leq 1\)

\(-1 - 4 \leq 4 - 4 + x \leq 1 - 4\)

\(-5 \leq x \leq -3\)

\([-5, -3]\)


\(ex.\,\,b\)

\(|x - 1| > 1\)


\(x - 1 > 1\)

\(x - 1 + 1 > 1 + 1\)

\(x > 2\)


\(x - 1 < -1\)

\(x - 1 + 1 < - 1 + 1 \)

\(x < 0\)


\((-\infty, 0) \cup (2, \infty)\)
 

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