Question

Graph the system of inequalities presented here on your own paper, 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 type 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.

Explanation: