Real-Life Inequalities: Graphing and Interpreting Solutions

A concert hall has a seating capacity of at least 500 people. If 200 tickets have already been sold, how many more tickets can be sold? Graph the inequality on a number line and interpret the solution.

• 300

• 100

• 400

• 250

A school is planning a field trip and needs at least $300 to cover costs. If they have already raised $150, how much more money do they need to raise? Write the inequality and graph it on a number line.

• They need to raise at least $50 more.

• They need to raise at least $100 more.

• They need to raise at least $150 more.

• They need to raise at least $200 more.

A gym requires a minimum of 15 members to stay open. If they currently have 10 members, how many more members do they need? Model this situation with an inequality and graph it.

• 3

• 5

• 7

• 10

A farmer has at least 100 apples to sell. If he sells 30 apples, how many does he have left? Write an inequality to represent this situation and graph it on a number line.

• At least 100 apples left.

• At least 70 apples left.

• At least 50 apples left.

• At least 80 apples left.

A student needs to score at least 75% on a test to pass. If the test has 40 questions, how many questions must the student answer correctly? Create an inequality and interpret the solution in context.

• 25

• 35

• 30

• 40

A store is having a sale and wants to sell at least 200 items. If they have sold 120 items so far, how many more do they need to sell? Write the inequality and graph it on a number line.

• 90

• 80

• 60

• 100

A recipe requires at least 2 cups of sugar. If you have 1.5 cups, how much more do you need? Model this with an inequality and interpret the solution.

• 2.5 cups

• 0 cups

• 1 cup

• 0.5 cups

A car rental company has a minimum age requirement of 21 years. If a customer is 19 years old, how many more years must they wait? Write the inequality and graph it on a number line.

• 1 year

• 3 years

• 4 years

• 2 years

A charity event aims to raise at least $500. If they have raised $350 so far, how much more do they need? Create an inequality and interpret the solution in context.

• They need $200 more.

• They need at least $150 more.

• They need $100 more.

• They have already met their goal.

A local library has a goal of having at least 1,000 books. If they currently have 850 books, how many more do they need to acquire? Write the inequality and graph it on a number line.

• 100

• 150

• 200

• 250