Name ________________________________________
Inequalities Review
1. Which of the following number lines represents the inequality below?
x4
a.
b.
c.
2. For which of the following inequalities is x  4 a solution?
a. x  3  1
b. 3x  1
c. x  3  1
d. x + 3  1
3. Which of the following number lines shows the solution to the inequality below?
x
1
2
a.
b.
c.
4. What is the solution to the inequality below?
2x  4
a. x  2
b. x  8
c. x  6
d. x 8
5. Demarcus has at least $8 more than his older sister. His older sister has $4. Which of the
following inequalities could be used to find how much money, m, Demarcus has?
a. m  8  4
b. 8  m  4
c. 8m  4
6. What is the solution to the inequality below?
x37
a. x  4
b. x  4
c. 3x  7
d. x 10
7. Explain how you would solve the inequality x  4  3
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8. Solve the following inequality. Graph the solution on the number line.
x
 2
4
9. What is the difference between the two inequalities? Explain.
x3
x3
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Every month, the bank withdraws $15 from Betsy’s checking account as a service fee. Betsy
has budgeted $75 for the next few service fees. For how many months will the service fee be
covered?
10a. Write and solve an inequality to find the solution. Graph the solution on the number line.
10b. Does your graph extend infinitely in one direction? Explain your answer.
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