Solve $LaTeX: \displaystyle | 2 x - 5 | < 23$

The inequality is an "and" type compound inequality. Setting up the three part inequality gives $LaTeX: \displaystyle -23 < 2 x - 5 < 23$ . Doing the same thing to all three parts gives $LaTeX: \displaystyle -18 < 2 x < 28$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle -9 < x < 14$ .