#
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.