Solve $LaTeX: \displaystyle | x + 1 | > 17$

The inequality is an "or" type compound inequality. This gives the two inequalities $LaTeX: \displaystyle x + 1 < -17$ or $LaTeX: \displaystyle x + 1 > 17$ . Solving gives $LaTeX: \displaystyle x < -18$ or $LaTeX: \displaystyle x > 16$ . Isolating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x < -18$ or $LaTeX: \displaystyle x > 16$ .