Educator

Techniques for Multi-Step Inequalities

• To solve a multi-step inequality, use the same techniques that were discussed in the section on multi-step equations. For review, see the material given for that section.

• If the inequality contains grouping symbols, use the distributive property to remove these symbols and simplify the inequality.

• If the solution of an inequality leads to an inequality that is always true, the solution set of the original inequality is the set of all real numbers.

• If the solution leads to an inequality that is never true, the solution set is the empty set.