Writing and Interpreting Inequalities in Real-Life Scenarios

1. Sarah has at least 50 stickers. If she buys x more stickers, write an inequality to represent the total number of stickers she will have.

• S + x >= 50 + x

• S + x < 50 + x

• S + x = 50 + x

• S + x > 50 + x

2. A concert hall can hold a maximum of 200 people. If y people have already bought tickets, write an inequality to show how many more tickets can be sold.

• y < 200

• y ≤ 200

• y = 200

• y > 200

3. Tom needs to save at least $100 for a video game. If he currently has z dollars, write an inequality to express how much more he needs to save.

• z = 100

• z ≤ 100

• z > 100

• z < 100

4. A school requires at least 15 students to sign up for a field trip. If x students have signed up, write an inequality to show how many more are needed.

• x + 15 < 0

• x - 15 < 0

• 15 - x < 0

• 15 - x > 0

5. A recipe calls for no more than 3 cups of sugar. If y cups of sugar are used, write an inequality to represent the maximum amount of sugar that can still be added.

• y < 3

• y = 3

• y <= 3

• y >= 3

6. A bike rental shop has a limit of 10 bikes available for rent. If x bikes are currently rented out, write an inequality to show how many bikes are still available.

• x <= 10

• x = 10

• x < 10

• x >= 10

7. Lisa wants to read at least 5 books this month. If she has read y books so far, write an inequality to express how many more she needs to read.

• y = 5

• y > 5

• y < 5

• y ≤ 5

8. A gym has a maximum capacity of 50 members. If x members are currently enrolled, write an inequality to show how many more members can join.

• x < 50

• x ≤ 50

• x > 50

• x = 50

9. A farmer has at least 30 apples. If he sells y apples, write an inequality to represent how many apples he has left.

• y < 30

• y >= 30

• y = 30

• y <= 30

10. A movie theater has a seating limit of 100. If x seats are filled, write an inequality to show how many seats are still available for new customers.

• x > 100

• x = 100

• x ≤ 100

• x < 100