Write and Graph 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 to collect at least $200 from students. Write an inequality for the amount collected, C.

• C = 200

• C >= 200

• C > 200

• C < 200

3. Tom is at least 5 years older than his sister. If his sister is S years old, write an inequality to express Tom's age.

• T = S + 5

• T >= S + 5

• T <= S + 5

• T < S + 5

4. A recipe requires at most 3 cups of sugar. If you have S cups of sugar, write an inequality to show how much sugar you can use.

• S >= 3

• S < 3

• S = 3

• S <= 3

5. A car can travel no more than 300 miles on a full tank of gas. Write an inequality to represent the distance D the car can travel.

• D >= 300

• D < 300

• D = 300

• D <= 300

6. Emily wants to save at least $100 for a new bike. If she saves S dollars each week, write an inequality to show how many weeks W it will take her to save enough.

• S * W < 100

• S - W >= 100

• S * W >= 100

• S + W <= 100

7. A concert hall can hold a maximum of 500 people. If P represents the number of people attending, write an inequality to show the maximum capacity.

• P >= 500

• P <= 500

• P = 500

• P < 500

8. A store is having a sale and offers discounts of at least 20% on all items. Write an inequality to represent the discount D on an item priced at P dollars.

• D <= 0.2 * P

• D < 0.2 * P

• D >= 0.2 * P

• D = 0.2 + P

9. A gardener wants to plant at least 10 flowers in her garden. If F represents the number of flowers she has, write an inequality to show how many more she needs to plant.

• x >= 10 - F

• x < 10 - F

• x = 10 + F

• x <= 10 - F

10. A runner must complete a race in less than 30 minutes. If T represents the time in minutes, write an inequality to express this condition.

• T > 30

• T = 30

• T < 30

• T ≤ 30