Inequality Practice

Match the graph with its inequality.

• b > –2

• b < –2

• b ≥ –2

• b ≤ –2

Which of the following IS a solution to the inequality represented by the graph?

• 8

• 9

• 10

Which inequality is represented by the graph.

Answer explanation

Open circle: <,>

Closed circle <=, >=

• x < 2

• x > 2

• x < 8

• x > 8

Answer explanation

Subtract the constant of 6 from both sides, then divide by 2.

• x < -10

• x > -10

• x < 2

• x > 2

Answer explanation

Subtract the constant of 22 from both sides, then divide both sides by (-2) remembering to switch the direction of the inequality.

• x < -24.7

• x > -24.7

• x < 12

• x > 12

Answer explanation

Distribute, combine like terms, solve.

• x < 4

• x > 4

• x < -4

• x > -4

Answer explanation

Distribute, combine like terms, solve.

Which inequality is represented by the graph.

Answer explanation

Open circle <,>

Closed circle <=, >=

• 8 < z

• 7 > z

• 7 < z

• 8 > z

Answer explanation

Distribute the 2.7, combine like terms and solve.

Neil’s airplane needs a full tank of fuel to travel 2,600 miles.  How many tanks of fuel, t, does Neil’s airplane need to travel more than 7,800 miles? Write an inequality to represent the situation. 

Answer explanation

Distance traveled needs to be more than 7800.