Solve $LaTeX: \displaystyle | 9 x + 1 | \geq 28$

The inequality is an "or" type compound inequality. This gives the two inequalities $LaTeX: \displaystyle 9 x + 1 \leq -28$ or $LaTeX: \displaystyle 9 x + 1 \geq 28$ . Solving gives $LaTeX: \displaystyle 9 x \leq -29$ or $LaTeX: \displaystyle 9 x \geq 27$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x \leq - \frac{29}{9}$ or $LaTeX: \displaystyle x \geq 3$ .