Solve $LaTeX: \displaystyle | 10 x + 5 | \leq 5$

The inequality is an "and" type compound inequality. Setting up the three part inequality gives $LaTeX: \displaystyle -5 \leq 10 x + 5 \leq 5$ . Doing the same thing to all three parts gives $LaTeX: \displaystyle -10 \leq 10 x \leq 0$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle -1 \leq x \leq 0$ .