Graphing Linear Inequalities Review

Graphing Linear Inequalities Review

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Graphing Linear Inequalities is the same as graphing lines.

With the addition of shading above or below. We also have check if it is dotted or solid.

Multiple Choice

Is it shaded above or below?

$$y<-2x+3$$  

• above

• below

Multiple Choice

Is it shaded above or below?

$$y\ge\frac{1}{3}x-7$$  

• above

• below

Multiple Choice

Which is the correct graph?

• A

• B

• C

• D

Multiple Choice

Which is the correct graph?

• A

• B

• C

• D

Multiple Choice

Is it dotted or solid?  $y<\frac{1}{2}x+3$

 

• dotted

• solid

Multiple Choice

Is it dotted or solid?   $$y>\frac{1}{2}x+3$$  

• dotted

• solid

Multiple Choice

Which is the correct graph?

• A

• B

• C

• D

Multiple Choice

Which is the correct graph?

• A

• B

• C

• D

Solutions for Linear Inequalities

• If the line is dotted, points on the line are not a solution to the inequality.

• If the line is solid, it is *greater/less than OR EQUAL TO which means the solution is included on the line

Let's look at the line y > 5x + 10

Which of the following points are solutions to the inequality?

(-2,0)

(2,3)

(-4,4)

Multiple Choice

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.

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

Multiple Choice

Are the points on the 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