Solve $LaTeX: \displaystyle | 1 - 6 x | > 31$

The inequality is an "or" type compound inequality. This gives the two inequalities $LaTeX: \displaystyle 1 - 6 x < -31$ or $LaTeX: \displaystyle 1 - 6 x > 31$ . Solving gives $LaTeX: \displaystyle - 6 x < -32$ or $LaTeX: \displaystyle - 6 x > 30$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x > \frac{16}{3}$ or $LaTeX: \displaystyle x < -5$ .