Page 33 - Math Course 3 (Book 1)

More Absolute Value Inequalities

Real World Example

A thermostat inside Macy’s house keeps the temperature within 3 degrees of the set temperature point.
If the thermostat is set at 72 degrees Fahrenheit, what is the range of temperatures in the house?

A. {x | 70 ≤ x ≤ 74}
B. {x | 68 ≤ x ≤ 72}
C. {x | 68 ≤ x ≤ 74}
D. {x | 69 ≤ x ≤ 75}

Answer

Skill Practice!

Match each open sentence with the graph of its solution set.

1. | x | > 2 a.

2. | x + 5 | > 3
b.
3. | x – 2 | < 3
c.
4. | x + 1 | < 4

d.

Express each statement using an inequality involving absolute value. Do not solve.

5. The weatherman predicted that the temperature would be within 3° of 52°F.

6. Serena will make the B team if she scores within 8 points of the team average of 92.

7. The dance committee expects attendance to number within 25 of last year’s 87 students

25