Question

(05.06 MC) Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > −2x + 3 y<1/2x-2 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 (−2, 3) included in the solution area for the system? Justify your answer mathematically. (4 points) (10 points)

Answer 1

Attached

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

See attached