3.3 ALG Notes
Date: ____________________________________
Solving Inequalities Using Multiplication and Division
For every real number a and b and for c > 0,
Multiplication Property of
Inequality for c > 0
Examples: Let c = 5, then
4 > –1
–6 < 3
For every real number a and b and for c < 0,
Multiplication Property of
Inequality for c < 0
Examples: Let c = –2, then
4 > –1
–6 < 3
For every real number a and b and for c > 0,
Division Property of
Inequality for c > 0
Examples: Let c = 2, then
6 > 4
–2 < 8
For every real number a and b and for c < 0,
Division Property of
Inequality for c < 0
Examples: Let c = –2, then
6 > 4
–2 < 8
Ex. Solve and graph:
a) −3w ≥ 12
b) 2b > −6
5
c) 0 < − x
6
d)
e) −t <
1
2
2k
3
≤−
3
4
3
f) 3 ≤ − x
5
Applications
Students on the cheerleading squad are selling calendars. They earn $.40 on each calendar they sell. Their goal is to earn
more than $327. Write and solve an inequality to find the least number of calendars they can sell and still reach their goal.