Compound Inequalities Word Problems

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

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

Every day, a woman needs to eat at least 1500 but less than 1800 calories. Write an inequality representing the possible amount of calories she could eat.

• 1500 < c < 1800
• 1500 ≤ c ≤ 1800
• 1500 ≤ c < 1800
• 1500 < c ≤ 1800

Every day, a woman needs to eat at least 1500 but less than 1800 calories. Write an inequality representing the possible amount of calories she could NOT eat.

• 1500 < x ≤ 1800
• x ≤ 1500 or x > 1800
• x < 1500 or x ≥ 1800
• x < 1500 and x ≥ 1800

You need at least $90 to buy some clothes, but your parents don’t want to give you more than $150. Write an inequality representing the possible amount of money you could get.

• 90 < m < 150
• 90 ≤ m < 150
• 90 ≤ m ≤ 150
• 90 ≤ m < 150

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

Your family needs a minimum of 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 should not buy today.

• x ≥ 3 or x ≤ 6
• x < 3 or x > 6
• x ≤ 3 or x ≥ 6
• x < 3 and x > 6

You need at least $40 to buy some notebooks, but your parents don’t want to give you more than $50. Write an inequality representing the possible amount of money you could get.

• 40 < m < 50
• 40 ≤ m < 50
• 40 ≤ m ≤ 50
• 40 < m ≤ 50