Compound Inequalities "And"
This compound inequality 3𝑥+5≤17 𝑎𝑛𝑑 2𝑥−3>1 has a solution of?
What is 𝑥≤4 𝑎𝑛𝑑 𝑥>2
This compound inequality 4𝑥+8≥12 𝑜𝑟 5𝑥−6<−11 has a solution of?
What is 𝑥≥1 𝑜𝑟 𝑥<−1
The temperature in a city during a winter week is expected to range between 30°F and 45°F. Write a compound inequality that represents the temperature in Fahrenheit during the week.
What is
t≤45 and t≥30
This compound inequality 3𝑥+7<−11 𝑎𝑛𝑑 2𝑥−6>12 has a solution of?
What is 𝑥<−6 𝑎𝑛𝑑 𝑥>−9
This compound inequality 4𝑥−9>11 𝑜𝑟 3𝑥−10≤−4 has a solution of?
What is 𝑥>5 𝑜𝑟 𝑥≤2
A car is traveling on a highway. The speed limit is between 60 mph and 75 mph. Write a compound inequality to represent the allowable speed of the car.
What is
s≤75 and s≥60
This compound inequality 5𝑥+7<−3 𝑎𝑛𝑑 2𝑥−11≥5 has a solution of?
What is 𝑥<−2 𝑎𝑛𝑑 𝑥≥8
This compound inequality 5𝑥+7<−3 𝑜𝑟 2𝑥−11≥5 has a solution of?
What is 𝑥<−2 𝑜𝑟 𝑥≥8
To qualify for a certain program, participants must be at least 18 years old but younger than 30 years old. Write a compound inequality to represent the age requirement.
What is
a<30 and a≥18
This compound inequality 4𝑥−9<11 𝑎𝑛𝑑 3𝑥−10≥−4 has a solution of?
What is 𝑥<5 𝑎𝑛𝑑 𝑥≥2
This compound inequality 5𝑥−1<−16 𝑜𝑟−3𝑥−1<8 has a solution of?
What is 𝑥<−3 𝑜𝑟 𝑥>−3
A theme park ride requires passengers to be taller than 4 feet 6 inches but shorter than 6 feet. Write a compound inequality to represent the height requirement.
What is
h<6 and h>4.6
This compound inequality 5𝑥−10<30 𝑎𝑛𝑑−3𝑥+9≤18 has a solution of?
What is 𝑥<8 𝑎𝑛𝑑 𝑥≥−3
This compound inequality 4𝑥−8>16 𝑜𝑟−7𝑥+6≥27 has a solution of?
What is 𝑥>6 𝑜𝑟 𝑥≤−3
A fitness club requires members to work out between 45 minutes and 90 minutes per session. Write a compound inequality to represent the time spent working out in each session.
What is
t≤90 and t≥45