Graphing Linear Inequalities

The solution set for a linear inequality was graphed as shown. Which of the following linear inequalities best represents this solution set?

• y > 3

• y < 3

• y > 3x

• y < -3x

• y > 3

Randy must graph x + 3y > 6. Part of his effort is shown in the graph. Which of the following is true about Randy's work so far?

• All is great so far. He just needs to do the shading part.

• He has the incorrect y-intercept indicated since it should be at (0, 6).

• His "rise over run" technique is incorrect since it is reversed.

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

Select the graph for y ≥ 1/3x + 2

• A

• B

• C

• D

Is this graph shaded above or below?

• above

• below

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 of the following is the graph of

3x - 2y < 10

• 
• 
• 
• 

• A dotted line

• A solid line

• Shade up

• Shade down

• A dotted line

• A solid line

• Shade up

• Shade down

Which of the following equations match the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1