Solving Inequalities Using Multiplication or Division
Section 3-3
Just as you can add and subtract to solve inequalities you can also use
multiplication and division as well.
Examples: 1.) 6x > 24 (divide both sides by 6)
x > 4 (all solutions greater than 4)
2.)
m
5
 40 (multiply both sides by 5)
m  200 (all solutions less than or equal to -200)
Solve each inequality. Graph and check your solution:
3.) 7n  91
4.)
v
 12
3
Got It?
5.)
x
6
 10
6.) 16m  48
***Multiplying or dividing each side of an inequality by a NEGATIVE
value changes the meaning of the inequality. When multiplying or
dividing by a NEGATIVE you need to REVERSE the inequality.
Solve each inequality. Graph and check your solution:
7.)  7n  91
8.)
Got It?
9.)  9y  108
10.)
b
6
 12
y
2
9
Extra Examples:
(Before you switch an inequality – make sure you are multiplying or
dividing by a negative, not just that there is a negative in the
inequality)
11.) 
5
x  10
6
12.) 
13.) 
5
y 0
6
14.)
15.) 16x  112
3
3
 k
4
8
1
3
x 
2
8
16.) -63 < -9y