Compound Inequalities
Solve the compound inequality and graph the solutions. 8 < 3x – 1 ≤ 11 8 < 3x – 1 ≤ 11 +1 +1 +1 9 < 3x ≤ 12 3 < x ≤ 4 Since 1 is subtracted from 3x, add 1 to each part of the inequality. Since x is multiplied by 3, divide each part of the inequality by 3 to undo the multiplication. The solution set is {x:3 < x ≤ 4}. ................
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