Solve $LaTeX: \displaystyle | 4 x - 2 | \geq 26$

The inequality is an "or" type compound inequality. This gives the two inequalities $LaTeX: \displaystyle 4 x - 2 \leq -26$ or $LaTeX: \displaystyle 4 x - 2 \geq 26$ . Solving gives $LaTeX: \displaystyle 4 x \leq -24$ or $LaTeX: \displaystyle 4 x \geq 28$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x \leq -6$ or $LaTeX: \displaystyle x \geq 7$ .