Inequalities in Real Life: Writing & Graphing Challenges

1. Sarah has at least 5 apples. Write an inequality to represent the number of apples she has. How would you graph this on a number line?

• x > 5

• x = 5

• x < 5

• x >= 5

2. A school requires at least 20 students to sign up for a trip. Write an inequality to show the number of students needed. Graph this on a number line.

• n < 20

• n <= 20

• n >= 20

• n = 20

3. Tom is saving money and wants to save more than $50. Write an inequality for the amount he has saved. How would you represent this on a number line?

• x = 50

• x < 50

• x ≥ 50

• x > 50

4. A recipe calls for no more than 3 cups of sugar. Write an inequality to represent the amount of sugar used. Show this on a number line.

• x = 3

• x >= 3

• x <= 3

• x < 3

5. Lisa read at least 15 books this year. Write an inequality to express this. How would you graph it on a number line?

• x > 15

• x >= 15

• x = 15

• x < 15

6. A concert hall can hold a maximum of 500 people. Write an inequality to represent the number of attendees. Graph this on a number line.

• x ≤ 500

• x < 500

• x ≥ 500

• x = 500

7. A car can travel at least 30 miles per gallon. Write an inequality for the car's fuel efficiency. How would you graph this on a number line?

• x < 30

• x > 30

• x >= 30

• x = 30

8. The temperature must be below 32 degrees for it to snow. Write an inequality to represent this condition. Show it on a number line.

• T < 32

• T ≤ 32

• T > 32

• T = 32

9. A box can hold no more than 10 pounds of items. Write an inequality for the weight of items in the box. Graph this on a number line.

• w = 10

• w <= 10

• w < 10

• w >= 10

10. A student needs to score more than 75% on a test to pass. Write an inequality to represent the score needed. How would you graph this on a number line?

• x > 75

• x < 75

• x ≥ 75

• x = 75