Solve $LaTeX: \displaystyle | x - 1 | \geq 13$

The inequality is an "or" type compound inequality. This gives the two inequalities $LaTeX: \displaystyle x - 1 \leq -13$ or $LaTeX: \displaystyle x - 1 \geq 13$ . Solving gives $LaTeX: \displaystyle x \leq -12$ or $LaTeX: \displaystyle x \geq 14$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x \leq -12$ or $LaTeX: \displaystyle x \geq 14$ .