Linear Absolute Value Inequalities - # 2
Posted: Sun Jun 28, 2026 4:05 am
\(ex. a\)See Part I: viewtopic.php?p=1038
\(| 4 + x | \leq 1 \)
\(-1 \leq 4 + x \leq 1\)
\(-1 - 4 \leq 4 - 4 + x \leq 1 - 4\)
\(-5 \leq x \leq -3\)
\([-5, -3]\)
\(ex.\,\,b\)
\(|x - 1| > 1\)
\(x - 1 > 1\)
\(x - 1 + 1 > 1 + 1\)
\(x > 2\)
\(x - 1 < -1\)
\(x - 1 + 1 < - 1 + 1 \)
\(x < 0\)
\((-\infty, 0) \cup (2, \infty)\)