Inequality Symbols and Word Problems

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

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

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

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have a minimum of $150 in her account. Which inequality represents this situation?

Addie saved more than $36. Which inequality represents the amount that she saved? 

• s > 36

• s < 36

• s ≤ 36

• s ≥ 36

Tucker lost fewer than 9 points. Which inequality represents the situation? 

• p > 9

• p < 9

• p ≥ 9

• p ≤ 9

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105