Graphing Linear Inequalities Applications

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

Which inequality describes this graph...

• y < 3x - 2

• y > 3x + 2

• y < 3x + 2

• y > 3x -2

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.

Which of the following is true of the given graph?

y ≥ -2x + 1

• The graph is a dotted line, shaded above.

• The graph is a solid line, shaded above.

• The graph is a dotted line, shaded below.

• The graph is a solid line, shaded below.

Choose the correct inequality for this graph.

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• 
• 
• 

Where would you find a solution for

y < -x + 4

• In the shaded region above the line.

• In the shaded region below the line.

• On the line.

• On the origin.

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

Which graph best represents the following inequality?

• 
• 
• 
• 

Determine whether point A is a solution to the linear inequality that is shown.

• Yes

• No

• Sometimes

Solid or Dashed Line?

y > 3x+7

• Solid

• Dashed