Practice: Compound Inequality Problems

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

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 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

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

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

Which of the following is a compound inequality with "or"

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You have $120 budgeted to rent a moving truck for 2 days.  Each day is $39, plus $0.25 per mile.  How many miles can you drive the truck and stay within your budget?

• 170 miles
• 168 miles
• 150 miles
• 172 miles

You have $120 budgeted to rent a moving truck for 2 days.  Each day is $39, plus $0.25 per mile.  How many miles can you drive the truck and stay within your budget?

• 170 miles
• 168 miles
• 150 miles
• 172 miles

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25
• 2x + 10 > 20
• 2x + 10 ≤ 25
• 2x + 10 < 25