Educator

Compound Inequalities

• A compound inequality combines two inequalities using either “and” or “or”. First solve each inequality separately. If “and” was used, the solution set is the set of all numbers in both solution sets of the two inequalities. If “or” was used, the solution is all numbers in either or both of the solution sets of the two inequalities.

• The solution of a compound inequality can be found by simplifying each inequality algebraically and then graphing the simplified inequalities.

• Describe the solution set of a compound inequality using either a number line or set builder notation.