Goals:
• Write compound inequalities.
• Model a real-life situation with a compound
inequality.
Eligible Content:
•
A1.1.3.1.1 / A1.1.3.1.2 / A1.1.3.1.3
Write and graph each compound inequality.
1. x is greater than or equal to 6 and less than 12.
6 ≤ x < 12
2.
x is less than -4 or is greater than 6.
x < -4 OR x > 6
3.
x is less than 8 and is greater than 7.
7<x<8
4.
x is less than 7 and is at least 0.
0≤x<7
5.
x is greater than 5 or is less than or equal to 3.
x > 5 OR x ≤ 3
Write and graph each compound inequality.
1. x is greater than 4 or less than 2.
2.
x is greater than -2 and less than 5.
3.
x is less than 6 or greater than or equal to 10.
4.
x is at least 5 and less than 8.
5.
x is between 2 and 8.
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
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
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
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
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
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
105°F
December
100°F
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
Worksheet – “5-4 Compound Inequalities”
The sum of 2 times a number and 5 is greater
than 7 and less than 17.
7 < 2x + 5 < 17
1< x < 6
Page 309 #16, 29-33, 35