Real-Life Inequalities: Write & Interpret Them!

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. Solve and graph the inequality.

• x ≥ 10

• x ≤ 5

• x ≤ 10

• x < 10

A class has a maximum capacity of 30 students. If there are currently 18 students enrolled, write an inequality to represent how many more students can enroll. Solve and graph the inequality.

• x ≤ 12

• x ≤ 15

• x ≤ 20

• x ≤ 10

A car can travel a maximum of 400 miles on a full tank of gas. If you have already driven 150 miles, write an inequality to find out how many more miles you can drive. Solve and graph the inequality.

• x < 150

• x >= 300

• x <= 250

• x <= 200

A concert hall has 500 seats. If 275 tickets have been sold, write an inequality to represent how many more tickets can be sold. Solve and graph the inequality.

• x ≤ 275

• x ≤ 300

• x ≤ 100

• x ≤ 225

A recipe requires at least 3 cups of flour. If you have 1.5 cups, write an inequality to find out how many more cups you need. Solve and graph the inequality.

• x < 1.5

• x = 3

• x >= 1.5

• x <= 1.5

A gym has a limit of 50 members. If there are currently 35 members, write an inequality to represent how many more members can join. Solve and graph the inequality.

• x ≤ 20

• x ≥ 10

• x < 15

• x ≤ 15

A school is planning a field trip and needs at least 15 students to sign up. If 10 students have signed up, write an inequality to find out how many more students are needed. Solve and graph the inequality.

• At least 10 more students are needed.

• Only 2 more students are needed.

• Exactly 15 more students are needed.

• At least 5 more students are needed.

A farmer has a budget of $200 to buy seeds. If each packet of seeds costs $15, write an inequality to represent how many packets he can buy. Solve and graph the inequality.

• x ≤ 13

• x ≥ 14

• x ≤ 15

• x < 13

A library has a limit of 100 books that can be checked out at one time. If 65 books are currently checked out, write an inequality to represent how many more can be checked out. Solve and graph the inequality.

• x <= 20

• x <= 50

• x <= 10

• x <= 35