1. 5-4 Compound Inequalities Again!
Goals:
Write compound inequalities.
Model a real-life situation with a compound
inequality.
Eligible Content:
A / A / A

2. Examples Write and graph each compound inequality.
x is greater than or equal to 6 and less than 12.
6 ≤ x < 12
x is less than -4 or is greater than 6.
x < -4 OR x > 6
x is less than 8 and is greater than 7.
7 < x < 8
x is less than 7 and is at least 0.
0 ≤ x < 7
x is greater than 5 or is less than or equal to 3.
x > 5 OR x ≤ 3

3. Practice Write and graph each compound inequality.
x is greater than 4 or less than 2.
x is greater than -2 and less than 5.
x is less than 6 or greater than or equal to 10.
x is at least 5 and less than 8.
x is between 2 and 8.

4. Word Problem #1
In a certain restricted air space, airplanes must fly below 10,000 feet or above 15,000 feet. Write and graph a compound inequality that models this situation.
x < 10,000 OR x > 15,000

5. Word Problem #2
The high temperature on a certain day was 98°F and the low was 78°F. Write a compound inequality that models the range in temperatures. 78 ≤ x ≤ 98

6. Word Problem #3
On a road in the city of Rochester, the maximum speed is 65 miles per hour and the minimum speed is 30 miles per hour. Write a compound inequality that models this situation. 30 ≤ x ≤ 65

7. Word Problem #4
Junior tickets to an event are available to teenagers below age eighteen at reduced rates. Write an inequality that models this situation. 13 ≤ x < 18

8. Word Problem #5
Month
Temperature
January
98°F
February
105°F
March
108°F
April
118°F
May
124°F
June
129°F
July
134°F
August
127°F
September
126°F
October
116°F
November
December
100°F
The highest temperature in the US for each month are shown in the table. Write a compound inequality that represents the range of record high temperatures. 98 ≤ x ≤ 134

9. A. c ≤ 65 or c ≥ 80 B. c ≥ 65 or c ≤ 80 C. c ≥ 65 or c ≥ 80
A professional hockey arena has seats available in the Lower Bowl level that cost at most $65 per seat. The arena also has seats available at the Club Level and above that cost at least $80 per seat. Write and graph a compound inequality that describes the amount a spectator would pay for a seat at the hockey game.
A. c ≤ 65 or c ≥ 80
B. c ≥ 65 or c ≤ 80
C. c ≥ 65 or c ≥ 80
D. c ≤ 65 or c ≤ 80

10. Practice
Worksheet – “5-4 Compound Inequalities”

11. Homework
Page 309 #16, 29-33, 35