Solve $LaTeX: \displaystyle | 5 - 5 x | \geq 5$

The inequality is an "or" type compound inequality. This gives the two inequalities $LaTeX: \displaystyle 5 - 5 x \leq -5$ or $LaTeX: \displaystyle 5 - 5 x \geq 5$ . Solving gives $LaTeX: \displaystyle - 5 x \leq -10$ or $LaTeX: \displaystyle - 5 x \geq 0$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x \geq 2$ or $LaTeX: \displaystyle x \leq 0$ .