Writing and Interpreting Inequalities in Everyday Life

A store sells notebooks for $2 each. If you want to spend no more than $20, write an inequality to represent the number of notebooks you can buy.

• x < 10

• 2x ≤ 20

• 3x ≤ 20

• 2x > 20

Maria has at least 15 books in her collection. If she buys x more books, write an inequality to show how many books she will have.

• 15 + x >= 15

• 15 + x < 15

• 15 - x >= 15

• x + 15 < 15

A concert hall can hold a maximum of 500 people. If 350 tickets have been sold, write an inequality to represent how many more tickets can be sold.

• x ≤ 150

• x < 150

• x > 200

• x ≥ 350

Tom needs to save at least $100 for a video game. If he currently has $45, write an inequality to represent how much more he needs to save.

• x > 45

• x = 100

• x < 55

• x >= 55

A recipe requires at least 3 cups of flour. If you have y cups of flour, write an inequality to show how many more cups you need to meet the requirement.

• 3 - y

• 3 + y

• y - 3

• y + 3

A gym has a maximum capacity of 200 members. If there are currently 150 members, write an inequality to represent how many new members can join.

• x ≥ 150

• x > 200

• x < 50

• x ≤ 50

A car can travel a maximum of 300 miles on a full tank. If it has already traveled 120 miles, write an inequality to show how many more miles it can travel.

• x < 180

• x >= 300

• x > 120

• x <= 180

Samantha wants to run at least 5 miles each week. If she has already run x miles, write an inequality to represent how many more miles she needs to run.

• x + 5 < 0

• 5 - x < 0

• 5 - x > 0

• x < 5

A school needs at least 30 volunteers for an event. If they currently have y volunteers, write an inequality to show how many more they need.

• y > 30

• y < 30

• y = 30

• y ≤ 30

A farmer has at least 50 apples. If he sells x apples, write an inequality to represent how many apples he has left.

• 50 - x >= 0

• 50 - x < 50

• x <= 50

• 50 + x > 0