Inequalities in Real-Life Scenarios: Translate and Identify

A school has a limit of 300 students. If there are currently 250 students enrolled, write an inequality to represent how many more students can enroll. Identify the variable.

• x = 75

• x >= 100

• x <= 50

• x < 50

Maria has $50 to spend on school supplies. If each notebook costs $5, write an inequality to show how many notebooks she can buy. Identify the variable.

• 5x < 50

• 10x <= 50

• 3x <= 50

• 5x <= 50, where x is the number of notebooks.

A concert hall can hold a maximum of 1,200 people. If 800 tickets have been sold, write an inequality to represent how many more tickets can be sold. Identify the variable.

• x ≤ 800

• x ≤ 400

• x ≥ 200

• x < 400

Tom is saving money to buy a video game that costs $60. If he currently has $30, write an inequality to show how much more money he needs to save. Identify the variable.

• x = 30

• x > 30

• x ≤ 30

• x < 30

A farmer has 150 apples and wants to pack them into boxes that hold 12 apples each. Write an inequality to represent how many boxes he can fill. Identify the variable.

• x >= 12

• 12x <= 150, where x is the number of boxes.

• x <= 12

• 12x < 150

A library has 500 books. If 200 books are checked out, write an inequality to show how many books are still available. Identify the variable.

• x < 200

• x >= 500

• x <= 300

• x > 300

Samantha wants to buy a new bike that costs $200. If she has saved $120, write an inequality to show how much more she needs to save. Identify the variable.

• x = 80

• x > 80

• x < 80

• x < 100

A gym can accommodate a maximum of 50 members in a class. If there are currently 30 members signed up, write an inequality to represent how many more can join. Identify the variable.

• x < 20

• x > 50

• x <= 20

• x >= 30

A movie theater has 100 seats. If 75 tickets have been sold, write an inequality to show how many more tickets can be sold. Identify the variable.

• x - 75 <= 100

• x + 75 <= 100

• x + 75 = 100

• x + 75 < 100

A pet store has 80 fish. If 25 fish are sold, write an inequality to represent how many fish are left in the store. Identify the variable.

• x > 55

• x < 55

• x <= 55

• x >= 55