Compound Inequalities Word Problems

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3

• x/3 + 20 ≤ 120

• 3x + 20 ≤ 120

• 3x + 20 ≥ 120

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

• All real numbers

• x ≥ -5 or x < 4

• No Solution

• x ≥ -5 and x < 4

Every day, a man needs to eat at least 1800 but less than 1900 calories. Write an inequality representing the possible amount of calories you could get.

• 1800 ≤ c ≤ 1900

• 1800 ≤ c < 1900

• 1800 < c ≤ 1900

• 1800 < c < 1900

Write a compound inequality from the following word problem: The temperature is at least 80 degrees Fahrenheit and no more than 90 degrees Fahrenheit.

• 80 <= temperature < 90

• temperature >= 80 and temperature <= 90

• 80 <= temperature <= 90

• temperature > 80 and temperature < 90

Solve:

• A

• B

• C

• D

• 20

• 21

• 22

• 23

Write a compound inequality from the following word problem: The number of hours you work must be greater than 20 and less than or equal to 40.

• 20 ≤ hours worked < 40

• 20 < hours worked ≤ 40

• 20 ≤ hours worked ≤ 40

• 20 < hours worked < 40

Write a compound inequality from the following word problem: The weight of a package must be between 10 pounds and 20 pounds, inclusive.

• 10 ≤ weight ≤ 20

• weight ≤ 10 or weight ≥ 20

• weight > 10 or weight < 20

• weight ≥ 10 and weight ≤ 20

Write a compound inequality from the following word problem: The speed of a car must be at least 60 miles per hour and no more than 70 miles per hour.

• 60 < speed < 70

• 60 <= speed <= 70

• speed >= 60 and speed <= 70

• speed > 60 and speed < 70

Write a compound inequality from the following word problem: The cost of a concert ticket is at most $50 or more than $100.

• x ≤ 50 or x < 100

• x ≥ 50 and x ≤ 100

• x > 50 and x < 100

• x ≤ 50 or x > 100