Question

Please refer to the photo..

Identify the points that’s are in the solution set to the system of inequalities shown.

{y>= -3x+5
{3y>x+12

• (0,12)
• (-2,0)
•(-6,13)
•(1,6)
•(9,8)
•(-2,19)
•(8,3)
•(0,10

Answer 1

• (0,12)

• (1,6)

• (9,8)

• (-2,19)

• (8,3)

Explanation:

See the attached graph.

The two inequalities are graphed and the points that are solutions to both equations are all those in the purple area of the graph (the result of the red and blue solutions that overlap [= purple]). The individual points are added to find which points do, or do not, fall within the solution set of both inequalities:

• (0,12) Yes

• (-2,0) No

• (-6,13) No

• (1,6) Yes

• (9,8) Yes

• (-2,19) Yes

• (8,3) Yes

• (0,10) No