Question

Graph the system of inequalities presented here on your own paper,
then use your graph to answer the following questions:
y < 2x - 7
y>-12x+3
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 (3, -7) included in the solution area for the
system? Justify your answer mathematically.

Answer 1

answer

A. graph attached

B. yes , it is in included in the solution area for the

system

STEPS:

1.

y < 2x - 7

y > -12x+3

2.

(3, -7)

plug in

2x - 7 >  y  > -12x + 3

2(3) - 7 > -7 > -12(3) + 3

6 - 7 > -7 > -36 + 3

-1 > -7 > -33

is -1 > -7 > -33 true?

yes

so it is in included in the solution area for the

system