NAME: ____________________________ DATE: ________________
PERIOD: ________
INEQUALITY APPLICATIONS
1) You need at least $25 more to buy a stereo system. Write and graph an inequality that describes how much
money you need s.
2) Maria is 15 years old. Let a represent the age of Maria’s younger brother. Write and graph and inequality
for a.
3) During a bitter cold week in January, the temperature in Seattle, Washington, did not exceed –10 degrees F.
Write and graph an inequality that describes the temperature T in Seattle.
4) You want to buy a sweater that costs $42. The sweater might go on sale next week. Write and graph an
inequality that describes the price P of the sweater next week.
5) Adam was sure that he didn’t score less than 73 on his algebra test. Write and graph an inequality to
describe Adam’s score.
6) Sue ran a 2-kilometer race in 8 minutes. Write and graph an inequality to describe the average speed of
runners who were faster than Sue.
7) Normal body temperature is 98.6 degrees F. Write and graph an inequality that describes the temperature T
of people with above normal body temperatures.
8) Helium is the element with has the lowest boiling point, –268.9 degrees C. Write an inequality that
describes the boiling point, b, of any other element. Graph the inequality.
9) You make a profit of $5.25 from each magazine you sell. Write an inequality to show how many magazines
m you need to sell to earn a minimum of $168. Graph the inequality.
10) Tom has scored 181 points so far this basketball season. He needs to score 207 points to tie the school
record for most points scored in a season. Let x represent the number of points Tom needs to score to tie or
beat the record. Write and graph an inequality for x. What is the least number of points Tom has to score to
beat the record?
11) The product of a number and twelve is less than or equal to one hundred forty-four. Write, solve, and graph
this inequality.
12) Ten less than the quotient of a number and negative six is greater than one.