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

y < 2x − 7
y is greater than or equal to -1/2x + 3

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 (3, −7) included in the solution area for the system? Justify your answer mathematically. (4 points)

1 answer

The two lines are shown here:

http://www.wolframalpha.com/input/?i=plot+y+%3D+2x-7,+y+%3D+-1%2F2+x+%2B+3

You want the area below the blue line and above (and including) the red line.

So, does (3,-7) satisfy both inequalities? Is it in your shaded area?