NAME _____________________________________________ DATE ____________________________ PERIOD _____________
8-6 Homework Practice
Write and Graph Inequalities
Write an inequality for each sentence.
1. More than 2,500 people attended the convention.
2. Her earnings were no more than $64.
3. The winning 5K race time was less than 22 minutes.
4. A checking-account balance is no more than $500.
5. A maximum ceiling height of 8 feet was required in the new buildings.
6. A minimum number of 12 participants is required to hold a bike rally.
Graph each inequality on a number line.
7. x > 15
8. s < 6
9. b ≥ 13
10. x < 23
11. r > 18
12. r ≥ 5
13. x > 30
14. b ≤ 4
15. a ≥ 9
16. DONATIONS Total donations at the Fireman’s Ball failed to reach $940. Write and graph an inequality that
represents the amount raised.
Course 1 • Chapter 8 Functions and Inequalities
127
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
8-6 Study Guide
Write and Graph Inequalities
Example 1
Write an inequality for the sentence.
Fewer than 70 students attended the last dance.
Words
Fewer than 70 students attended the last dance.
Variable
Let s = the number of students.
Inequality
s < 70
Example 2
Graph each inequality on a number line.
a. x > 8
The open dot means 8 does not
make the sentence true. The
graph to the right means that
numbers greater than 8 make
the sentence true.
Course 1 • Chapter 8 Functions and Inequalities
b. x ≤ 8
The closed dot means 8 does make
the sentence true. The graph to the
left means that numbers less than
8 make the sentence true.
127