Writing and Graphing Inequalities in Real Life Scenarios

1. Sarah has at least $50 to spend on books. Write an inequality to represent this situation.

• x > 50

• x >= 50

• x < 50

• x = 50

2. A school is planning a field trip and needs at least 30 students to sign up. Write an inequality for the number of students, s, that must sign up.

• s >= 30

• s < 30

• s <= 30

• s = 30

3. Tom is at least 12 years old to join the basketball team. Write an inequality to express this age requirement.

• x >= 12

• x = 12

• x <= 12

• x < 12

4. A concert hall can hold a maximum of 500 people. Write an inequality to represent the number of attendees, a, that can be present.

• a <= 500

• a = 500

• a < 500

• a >= 500

5. Lisa wants to save more than $200 for a new bike. Write an inequality to show how much money she needs to save, m.

• m ≥ 200

• m > 200

• m < 200

• m = 200

6. A recipe requires at least 3 cups of flour. If you have x cups of flour, write an inequality to represent this situation.

• x >= 3

• x = 3

• x < 3

• x <= 3

7. The temperature must not exceed 100 degrees Fahrenheit for the outdoor event. Write an inequality to express this condition.

• t < 100

• t = 100

• t > 100

• t ≤ 100

8. A runner needs to complete a race in less than 30 minutes. Write an inequality to represent the time, t, it takes to finish the race.

• t > 30

• t ≤ 30

• t < 30

• t = 30

9. A store is offering discounts on items that cost more than $20. Write an inequality to represent the cost of an item, c, that qualifies for a discount.

• c > 20

• c < 20

• c >= 20

• c <= 20

10. A gardener wants to plant at least 15 flowers in her garden. Write an inequality to represent the number of flowers, f, she plans to plant.

• f <= 15

• f >= 15

• f < 15

• f = 15