Compound Inequality Word Problems

A car rental company charges $30 per day to rent a car. Write a compound inequality to represent the number of days you can rent a car if you have at most $150.

• 0 ≤ x ≤ 5

• 0 ≤ x ≤ 4

• 0 ≤ x ≤ 7

• 0 ≤ x ≤ 6

A bakery sells cupcakes for $2 each. Write a compound inequality to represent the possible number of cupcakes you can buy if you have between $6 and $10.

• 4 ≤ x ≤ 6

• 3 ≤ x ≤ 5

• 1 ≤ x ≤ 2

• 7 ≤ x ≤ 9

A restaurant offers a discount of 20% on meals that cost more than $50. Write a compound inequality to represent the cost of meals that qualify for the discount.

• cost of meal = $50

• cost of meal ≤ $50

• cost of meal > $50

• $50 < cost of meal < ∞

A concert ticket costs $50. Write a compound inequality to represent the possible number of tickets you can buy if you have between $100 and $200.

• 100 <= 50x <= 200

• 100 < 50x < 200

• 100 < 50x <= 200

• 100 <= 50x < 200

Solve:

• A

• B

• C

• D

Your family needs 2 gallons of water this week, but you don’t want to buy any more than 8 gallons. Write an inequality representing the possible gallons of water you could buy this week.

• 2 ≤ x ≤ 8

• 2< x < 8

• 8 ≥ x ≥ 2

• 2> x > 8

Every day, a man needs to eat more than 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

You need at least  5 apples today, but you don’t want to buy any more than 10 apples. Write an inequality representing the possible number of apples you could buy today.

• 5 < m < 10

• 5 ≤ m < 10

•  5 < m ≤ 10

• 5 ≤ m ≤ 10

Your family needs 3 pounds of meat today, but you don’t want to buy any more than 6 pounds. Write an inequality representing the possible pounds of meat you could buy today.

• 3 < m < 6

• 3 ≤ m < 6

• 3 < m ≤ 6

• 3 ≤ m ≤ 6

Every day, a human can eat between 3 to 7 percent of his or her bodyweight, inclusive. If someone weighs 160 pounds, write an inequality representing the amount of food they could eat each day in pounds.

• 3 ≤ w ≤ 7

• 3 < w < 7

• 4.8 ≤ w ≤ 11.2

• 4.8 < w < 11.2