Making Inequalities True

Consider the inequality y > 1/2x - 8. Which of the following statements is true?

• The line would be solid with shading above.

• The line would be dotted with shading above.

• The line would be solid with shading below.

• The line would be dotted with shading below.

The coordinate (-2,5) is a solution to which part of the system of inequalities graphed below?

• red inequality only

• blue inequality only

• both inequalities

• neither inequality

The coordinate (-4,0) is a solution to which part of the system of inequalities graphed below?

• red inequality only

• blue inequality only

• both inequalities

• neither inequality

Answer explanation

The coordinate is on the solid line.

Which region of the graph represents the solution to the system of inequalities

• A

• B

• C

• D

Which region of the graph represents the solution to the system of inequalities

• A

• B

• C

• D

The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the truck.

Which inequality represents all possible values of x, the number of these boxes that can be loaded into the moving truck?

Sandra is saving up money to buy a car. The car costs $10,000. She received $1000 from her grandparents to go towards a car. She earns $500 per month babysitting. Write an inequality that represents how many months it will take for Sandra to have at least enough money to purchase the car.

• -9

• -4

• -3

• -2

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

Does the given value make the inequality true?  x + 9 > 21, when x = 15

• True

• Not True