Identify Solutions to Systems of Inequalities

After graphing, the solution set of a system of inequalities is located in the ___________.

• shaded region in the second inequality

• shaded region of the first inequality

• common shaded region

• unshaded region

Which ordered pair is NOT a solution to the system of inequalities graphed?

• (-2, 2)

• (0, 2)

• (1, 2)

• (-3, 6)

What type of line do you draw and how do you shade if the inequality is:

 $y<-2x+3$  

• dashed line, shade above

• dashed line, shade below

• solid line, shade above

• solid line, shade below

What type of line do you draw and how do you shade if the inequality is:

 $y\le-2x+3$  

• dashed line, shade above

• dashed line, shade below

• solid line, shade above

• solid line, shade below

Locate (4, 8) on the graph. Why is (4, 8) NOT a solution to the system graphed?

• (4, 8) is a solution for only the blue inequality.

• (4, 8) is a solution for only the red inequality.

• (4, 8) is in the common shaded region.

• (4, 8) is in the unshaded region.

What type of line do you draw and how do you shade if the inequality is:

 $y>-2x+3$  

• dashed line, shade above

• dashed line, shade below

• solid line, shade above

• solid line, shade below

Locate (1, 2) on the graph. Why is (1, 2) NOT a solution to the system of inequalities graphed?

• (1, 2) is on a dashed line.

• (1, 2) is on a solid line.

• (1, 2) is in the common shaded region.

• (1, 2) is only in one shaded region.

What type of line do you draw and how do you shade if the inequality is:

 $y\ge-2x+3$  

• dashed line, shade above

• dashed line, shade below

• solid line, shade above

• solid line, shade below

Which ordered pair is a solution to the system graphed?

• (-1, 0)

• (4, 4)

• (-4, 4)

• (0, 0)

Which inequality is represented by this graph?

• $y>-\frac{4}{3}x-2$

• $y<-\frac{4}{3}x-2$

• $y\ge\frac{4}{3}x-2$

• $y\le\frac{4}{3}x-2$