1. Writing Inequalities to Represent Real-Life Situations
x > 30.50
x = money in her purse

2. Situation #1
Mary has more than $30.50 in her purse. Write an inequality to represent Mary’s situation.
Define your variable.
x > 30.50
x = money in purse

3. Situation #2
Joanna has at least $ in her savings account. Write an inequality to represent Joanna’s situation. Define your variable.
x ≥
x = money in her account

4. Situation #3
Sally has no more than 6 pets in her house. Write an inequality to represent Sally’s situation. Define your variable.
x ≤ 6
x = number of pets

5. Situation #4
John scored fewer than 6.4 points per basketball game. Write an inequality to represent John’s situation. Define your variable.
x < 6.4
x = points scored in game

6. Situation #5
The book will cost at least $ Write an inequality to represent the situation. Define your variable.
x ≥ 16.99
x = cost of book

7. Situation #6
You are going to a carnival. Each game costs $0.50 to play. If you have $4, write an inequality to show how many games you can play. Define your variable.
.50x ≤ 4
x = number of games

8. Situation #7
Chris wants to order DVDs over the internet. Each DVD costs $15.99 and shipping for the entire order is $9.99. Chris has no more than $100 to spend. Write an inequality that represents Chris’ situation. Define your variable.
15.99x ≤ 100
x = number of DVDs

9. Situation #8
Keith has $525 in a savings account at the beginning of the summer. He wants to have at least $225 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Keith’s situation. Define your variable.
525 – 25x ≥ 225
x = number of weeks

10. Situation #9
Martha charges $15.75 to walk a customer’s dog. She wants to make at least $90.45 dollars. Write an inequality to represent Martha’s situation. Define your variable.
15.75x ≥ 90.45
x = number of dogs

11. Situation #10
Samantha is planning a party. She wants to have at least 45 party favors for her guests. Party favors come in packages of 6. Write an inequality to represent Samantha’s situation. Define your variable.
6x ≥ 45
x = number of party favor packages

12. Situation #11
Mackenzie invited 15 friends to her party. She wants to invite more friends so she has at least 40 friends at her party. Write an inequality to represent this situation. Define your variable.
15 + x ≥ 45
x = number of friends.