Question

PLEASE HELP!!!

Graph the system of inequalities presented here on your own paper, and then use your graph to answer the following questions:

Y>3x+10.
Y<-3/4x-1

PART A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.

PART B: Is the point (8,10) included in the solution area for the system? Justify your answer mathematically.

Answer 1

Part A:
I have attached the graph of this system of inequalities.

Part B:
Plug in (8,10) into both equations

10 > 3(8) + 10
10 > 24 + 10
10 > 34

This is false!

10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7

This is also false!

So, (8,10) is not included in the solution area for the system.