Solve $LaTeX: \displaystyle | 4 x - 2 | \geq 38$

The inequality is an "or" type compound inequality. This gives the two inequalities $LaTeX: \displaystyle 4 x - 2 \leq -38$ or $LaTeX: \displaystyle 4 x - 2 \geq 38$ . Solving gives $LaTeX: \displaystyle 4 x \leq -36$ or $LaTeX: \displaystyle 4 x \geq 40$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x \leq -9$ or $LaTeX: \displaystyle x \geq 10$ .