Solve $LaTeX: \displaystyle | 10 x + 2 | \leq 2$

The inequality is an "and" type compound inequality. Setting up the three part inequality gives $LaTeX: \displaystyle -2 \leq 10 x + 2 \leq 2$ . Doing the same thing to all three parts gives $LaTeX: \displaystyle -4 \leq 10 x \leq 0$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle - \frac{2}{5} \leq x \leq 0$ .