Translating and Graphing Real-Life Inequalities

1. Sarah has at least 5 apples. Write an inequality to represent the number of apples she has. What is the inequality?

• x > 5

• x < 5

• x >= 5

• x = 5

2. A box can hold no more than 10 pounds of items. Write an inequality to show the maximum weight the box can hold. How would you graph this on a number line?

• x < 10

• x <= 10

• x = 10

• x >= 10

3. Tom needs to save more than $50 for a video game. Write an inequality to represent the amount he needs to save. How would you represent this on a number line?

• x > 50

• x ≥ 50

• x = 50

• x < 50

4. A school has fewer than 300 students enrolled. Write an inequality to express this situation. How would you graph this on a number line?

• n ≤ 300

• n < 300

• n = 300

• n > 300

5. Lisa read at least 20 pages of her book each day. Write an inequality to show the minimum number of pages she has read in a week. How would you graph this?

• P >= 140

• P < 140

• P <= 140

• P > 140

6. A car can travel no more than 400 miles on a full tank. Write an inequality to represent the distance the car can travel. How would you graph this on a number line?

• d ≥ 400

• d ≤ 400

• d = 400

• d < 400

7. Mark wants to buy a video game that costs more than $30. Write an inequality to represent how much money he needs. How would you graph this on a number line?

• x > 30

• x = 30

• x < 30

• x ≥ 30

8. A recipe requires at least 2 cups of flour. Write an inequality to show the minimum amount of flour needed. How would you represent this on a number line?

• f < 2

• f = 2

• f <= 2

• f >= 2

9. A concert hall can hold a maximum of 500 people. Write an inequality to express this limit. How would you graph this on a number line?

• x ≤ 500

• x = 500

• x ≥ 500

• x < 500

10. Emma has more than 15 stickers in her collection. Write an inequality to represent the number of stickers she has. How would you graph this on a number line?

• x ≥ 15

• x > 15

• x < 15

• x = 15