Writing and Graphing Inequalities in Real Life Scenarios

1. Sarah has at least 15 apples. Write an inequality to represent the number of apples she has. How would you graph this on a number line?

• x < 15

• x > 15

• x = 15

• x >= 15

2. A school requires at least 30 students to sign up for a field trip. Write an inequality to show the number of students needed. Graph this on a number line.

• x >= 30

• x <= 30

• x = 30

• x < 30

3. Tom is saving money and wants to have no less than $50. Write an inequality for the amount of money he has. How would you represent this on a number line?

• x > 50

• x >= 50

• x = 50

• x < 50

4. A recipe calls for more than 2 cups of sugar. Write an inequality to represent the amount of sugar needed. How would you graph this?

• s > 2

• s < 2

• s ≥ 2

• s = 2

5. Lisa read at least 5 books this month. Write an inequality to express the number of books she read. Show how to graph this on a number line.

• x >= 5

• x > 5

• x = 5

• x < 5

6. A concert hall can hold a maximum of 200 people. Write an inequality to represent the number of people that can attend. Graph this on a number line.

• x <= 200

• x > 200

• x >= 200

• x < 200

7. A car can travel no more than 300 miles on a full tank. Write an inequality for the distance the car can travel. How would you graph this?

• d ≤ 300

• d = 300

• d ≥ 300

• d < 300

8. The temperature must be above 32 degrees Fahrenheit for rain to fall. Write an inequality to represent this situation. Graph it on a number line.

• T >= 32

• T > 32

• T < 32

• T = 32

9. A box can hold at least 10 toys. Write an inequality to show the number of toys that can fit in the box. How would you graph this?

• x >= 10

• x = 10

• x <= 10

• x < 10

10. A student needs to score more than 75% on a test to pass. Write an inequality for the score needed. Graph this on a number line.

• x ≥ 75

• x = 75

• x < 75

• x > 75