Question

PLEASE HELP
Which system of inequalities is represented by the graph?
A. y less than or equal to-2x+4 and y greater than or equal to x-6
B. y less than or equal to2x+4 and y greater than or equal to -x -6
C. y less than or equal to 2x-4 and y greater than or equal to -x-6
D. y less than or equal to 2x+4 and y greater than or equal to -x+6

Answer 1

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Find two points of each line

Line A    (-2, 0)   (-1, 2)

Line B    (-1. - 5)   (-6, 0)

2.- Find the slope and equation of each line

Line A

             $m = \frac{2 - 0}{-1 + 2}$

             $m = \frac{2}{1}$

                    m = 2

             y - 0 = 2(x + 2)

            y = 2x + 4

Line B

             $m = \frac{0 + 5}{-6 + 1}$

             $m = \frac{5}{-5}$

                    m = -1

             y - 0 = -1(x + 6)

             y = -x - 6

3.- Find the inequalities

Line A, we are interesteed in the lower area of the line, so the inequality is

                      y ≤ 2x + 4

Line B, we are also interested in the lower area of the line so the inequality is

                      y ≥ - x - 6

Answer 2

Answer:B

Step-by-step explanation: