Exploring Real-Life Inequalities and Solutions

1. Sarah has at least 15 apples. Write an inequality to represent the number of apples she has. How many apples could she have?

• x >= 15; Sarah could have 15, 16, 17, ... apples.

• x > 15; Sarah could have 14, 13, or 12 apples.

• x = 15; Sarah could only have 15 apples.

• x < 15; Sarah could have 14 apples.

2. A movie theater has a maximum capacity of 200 people. Write an inequality to show how many more people can enter if there are currently 150 people inside.

• x <= 50

• x = 50

• x < 50

• x >= 50

3. Tom needs to save more than $50 for a video game. If he currently has $30, write an inequality to represent how much more he needs to save.

• x < 20

• x >= 30

• x > 20

• x = 20

4. A school is planning a field trip and needs at least 30 students to sign up. If 22 students have signed up, write an inequality to show how many more students are needed.

• x >= 8

• x < 8

• x = 8

• x <= 8

5. Lisa is running a race and wants to finish in less than 25 minutes. If she has already run for 18 minutes, write an inequality to represent how much time she has left to finish the race.

• x < 5

• x = 8

• x > 10

• x < 7

6. A box can hold no more than 12 books. If there are currently 7 books in the box, write an inequality to show how many more books can be added.

• x ≤ 7

• x ≥ 5

• x ≤ 5

• x < 5

7. A gardener wants to plant at least 10 flowers. If he has already planted 4, write an inequality to represent how many more flowers he needs to plant.

• x >= 6

• x < 6

• x > 6

• x <= 6

8. A concert venue can hold a maximum of 500 people. If there are currently 450 tickets sold, write an inequality to show how many more tickets can be sold.

• x <= 50

• x = 450

• x >= 100

• x < 50

9. Jamie has a budget of $100 for shopping. If she spends $45, write an inequality to represent how much money she has left to spend.

• remaining money <= 100

• remaining money >= 55

• remaining money = 45

• remaining money < 55

10. A recipe requires at least 2 cups of sugar. If you have 1.5 cups, write an inequality to show how much more sugar you need to buy.

• x < 0.5

• x >= 0.5

• x = 1.5

• x > 1.0