Solving Real-Life Inequalities: Write & Interpret Problems

A concert hall has a maximum capacity of 500 people. If 150 tickets have already been sold, write an inequality to represent the number of additional tickets that can be sold. Solve the inequality and graph the solution.

• x ≤ 300

• x ≤ 350

• x ≤ 400

• x ≤ 250

A school is planning a field trip and needs at least 30 students to sign up. If 12 students have already signed up, write an inequality to represent the number of additional students needed. Solve the inequality and graph the solution.

• x >= 12

• x >= 18

• x > 30

• x <= 18

A gym charges a monthly fee of $40 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, write an inequality to represent the number of classes they can attend. Solve the inequality and graph the solution.

• x ≤ 15

• x ≤ 8

• x ≤ 12

• x ≤ 10

A farmer has 120 acres of land and wants to plant corn and wheat. If he plants corn on at least 40 acres, write an inequality to represent the maximum acres he can plant wheat. Solve the inequality and graph the solution.

• y ≤ 60

• y ≤ 40

• y ≤ 80

• y ≤ 100

A bookstore is having a sale where each book costs $8. If a customer has $50 to spend, write an inequality to represent the maximum number of books they can buy. Solve the inequality and graph the solution.

• x <= 6

• x <= 7

• x <= 5

• x <= 8

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer wants to spend no more than $60, write an inequality to represent the maximum number of miles they can drive. Solve the inequality and graph the solution.

• m ≤ 100

• m ≤ 120

• m ≤ 150

• m ≤ 200

A local charity is collecting cans for a food drive. They need at least 200 cans to meet their goal. If they have already collected 75 cans, write an inequality to represent the number of additional cans needed. Solve the inequality and graph the solution.

• x ≥ 125

• x ≤ 125

• x < 125

• x > 125

A student has a budget of $150 for school supplies. If they spend $25 on a backpack, write an inequality to represent the maximum amount they can spend on other supplies. Solve the inequality and graph the solution.

• x = 100

• x >= 150

• x <= 125

• x < 125

A movie theater has a special offer where tickets are $10 each. If a family of four wants to spend no more than $40 on tickets, write an inequality to represent the maximum number of tickets they can buy. Solve the inequality and graph the solution.

• x ≤ 4

• x < 4

• x = 4

• x ≤ 5

A pizza shop sells large pizzas for $15 each. If a customer wants to spend no more than $60, write an inequality to represent the maximum number of pizzas they can order. Solve the inequality and graph the solution.

• x < 4

• x <= 3

• x <= 5

• x <= 4