NAME:
Inequality Study Guide
Sections 3.4-3.5
Solve the inequality and graph its solution.
1.
u7  5
3.
x
 1
3
5.
 4z  16
2.
5 p2
4.
 12  3t
6.
d
1
5
Write the verbal sentence as an inequality. Then solve the inequality.
7. Three times a number is at most 18.
8. Nine times a number is greater than 36.
9. A number divided by -2 is less than 10.
10. A number divided by 5 is at least 20.
NAME:
Write an inequality for the following word problems.
11. Helium is the element with the lowest melting point, −272.2℃. Write an inequality that
describes the melting point 𝑝 (in degrees Celsius) of any other element.
12. Megan is ordering tacos for her office staff. They cost $2.25 each, including tax, and there is a
$6 delivery charge. How many tacos can she buy if she has $42?
13. You need to complete at least 300 math problems in 4 days for a homework assignment. How
many exercises should you complete each day?
14. An admission pass for an art museum is $4.50. Write and solve an inequality to find the
number of passes 𝑝 that must be sold for the museum to make at least $7200.
15. If you are at-bat 250 times this baseball season, how many hits must you get to have a batting
average of at least 0.452?
16. You earn $6 per hour at your after-school job. How many hours must you work this week to
earn at least $72?