Inequality in One Variable

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

Jo has 8 friends and makes 2 new friends per week. She doesn't want any more than 16 friends. Create an inequality to determine the number of weeks it will take Jo to reach her desired number of friends.

• 2x + 8 ≤ 16

• 16x +8 < 2

• 8x +2 ≤ 16

• 2x + 16 < 8

Jim has $8 to spend on pizza. The slice is $4 and each topping is $0.50. Create an inequality to represent the number of toppings Jim can get if he only buys one slice of pizza.

• 4x + 0.50 ≥ 8

• 0.50x + 4 < 8

• 0.50x +4 ≤ 8

• 4x +0.50 ≤ 8

A carafe at a banquet holds about 12 cups of coffee. When the carafe has 1 cup or less of coffee left, the waiter dumps the coffee out and pours in a fresh pot. Each coffee mug at the banquet holds 6 ounces of coffee. Assuming each person fills his or her mug, what inequality represents the number of people who can fill their mugs before the carafe needs to be refilled? (Hint: 1 cup = 8 ounces)

• 12 – 0.75x ≤ 1

• 12 – x ≤ 1

• 12 – 0.75x ≥ 1

• 12 – x ≥ 1

Match this number line

to its correct solution.

• x > 2

• x > 2

• x < 2

• x < 2

Match this number line to its correct solution.

• x > -2

• x < -2

• x > -2

• x < -2

Match this number line

to its correct solution.

• x > 1

• x > 1

• x < 1

• x < 1

Match this number line

to its correct solution.

• x > -2

• x > -2

• x < -2

• x < -2

Solve the linear inequality.

• x < 0

• x > 0

• x < 3

• x > 3

Solve the linear inequality.

• x < 5

• x > 5

• x < 5

• x > 5