epdf.pub_cbest-cliffs-test-prep13a9b242c7cb4125e6cca92d00a73d5a41681

Part IV: Mathematics Review
Inequalities
An inequality is a statement in which the relationships are not equal. Instead of
using an equal sign (=) as in an equation, an inequality uses > (greater than) and <
(less than), or ≥ (greater than or equal to) and ≤ (less than or equal to).
When working with inequalities, treat them exactly like equations, except: If you
multiply or divide both sides by a negative number, you must reverse the direction
of the sign. For example:
Solve for x: 2x
+ 4>
6
2x
+ 4>
6
-4-4
2x > 2
2x
⁄2 > 2 ⁄2
x>
1
Solve for x: - 7x
> 14(divide by -7
and reverse the sign)
-7x
⁄-7 < 14 ⁄-7
x < -2
3x+ 2$
5x-10becomes -2x
$ -12by opposite operations. Divide both sides
by -2
and reverse the sign.
-2x
⁄-2 ≤ -12 ⁄-2
x ≤ 6
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