Translate Real-Life Scenarios into Inequalities

1. Sarah has at least 15 apples. If x represents the number of apples she has, write an inequality to represent this situation.

• x < 15

• x = 15

• x >= 15

• x > 15

2. A movie theater can hold a maximum of 200 people. If y represents the number of people currently in the theater, write an inequality to show how many more people can enter.

• y > 200

• y = 200

• y ≤ 200

• y < 200

3. Tom wants to save at least $50 for a video game. If z represents the amount of money he has saved, write an inequality to express this.

• z > 50

• z >= 50

• z < 50

• z = 50

4. A school has a limit of 30 students per class. If a represents the number of students in a class, write an inequality to show how many more students can be added.

• x = 30 + a

• x ≥ 30 - a

• x < 30 - a

• x ≤ 30 - a

5. Lisa needs to read more than 5 books this summer. If b represents the number of books she has read, write an inequality to represent her goal.

• b < 5

• b >= 5

• b > 5

• b = 5

6. A car can travel a maximum of 300 miles on a full tank. If c represents the distance traveled, write an inequality to show how much further it can go.

• c <= 300

• c < 300

• c = 300

• c >= 300

7. A recipe requires at least 2 cups of flour. If d represents the cups of flour used, write an inequality to express this requirement.

• d < 2

• d = 2

• d <= 2

• d >= 2

8. A gym can accommodate no more than 50 members at a time. If e represents the current number of members, write an inequality to show how many more can join.

• x ≤ 50 - e

• x < 50 + e

• x ≥ 50 - e

• x = 50 + e

9. Mark wants to run at least 10 miles this week. If f represents the miles he has run so far, write an inequality to express his goal.

• f = 10

• f <= 10

• f < 10

• f >= 10

10. A concert venue has a capacity of 500 seats. If g represents the number of tickets sold, write an inequality to show how many tickets can still be sold.

• g ≤ 500

• g = 500

• g > 500

• g < 500