Question

Please help! I have part of the answer but I need help with the slope and understanding the solution space. Thanks!

3. (05.06 MC)
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 types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)

Answer 1

Explanation:

Given the inequalities as

y>-2x+3

y<1/2x-2

Graph the inequalities on the graph tool

The solution is points in the shaded area such as (2,2),(4,4),(4,2),(2,-2),(2,-4)

The point (-2,3) is not included in the solution area because it is located in the un-shaded area.

Mathematically, taking points (-2,3) into the inequality

y>-2x+3

3>-2(-2) +3

3>4+3

3>7---------------------not correct because 3<7