# Section 4-2

# Compound Inequalities

A compound inequality is two or more inequalities joined together with *or* or *and*. For example:

*x* < –3 or *x* 2

When two inequalities are joined with *and*, they are often written simply as a double inequality, like:

**–1 ***x* < 2

(In other words, *x* –1 *and* *x* < 2.)

To **solve **an *or*-type compound inequality, just solve the two sentences seperately. To solve an *and*-type compound inequality, just make sure that if you add a number or multiply by a number, you do it to *all three* parts of the inequality.