Solving Compound Inequalities - ChiliMath Example 1: Solve the compound inequality x - 1 > 1 x − 1 > 1 and 27 \ge 2x - 1 27 ≥ 2x − 1. Graph the solutions on the number line. Then, write your solutions in interval notation. STEP 1. Solve each inequality. First inequality: x - 1 > 1 x − 1 > 1 Add 1 1 to both sides of the inequality. x - 1 > 1 x − 1 > 1 x - 1+1 > 1+1 x − 1 + 1 > 1 + 1