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

y > 5x + 5
y is greater than negative 1 over 2 times x plus 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 (−2, 5) included in the solution area for the system? justify your answer mathematically.

Y > 5x + 5 : slope = 5, y int = (0,5), x int = (-1,0)
since there is no equal sign, it a dashed line...and since it is greater then, it is shaded above the line.

y > -1/2x + 1 : slope = -1/2, y int = (0,1), x int = (2,0)
since there is no equal sign, it is a dashed line...and since it is greater then, it is shaded above the line.

is (-2,5) included in the solution ?
Lets find outthis solution would have to satisfy BOTH inequalities for it to be a solution.
So we sub and check...
y > 5x + 5
5 > 5(-2) + 5
5 > -10 + 5
5 > -5...correct...now we check the other one

y > -1/2x + 1
5 > -1/2(-2) + 1
5 > 1 + 1
5 > 2correct

and since it satisfies both inequalities, it IS a solution

2.) is the most sense