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:B

Explanation:

Answer 2

The answer to your question is letter B

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 = (2 - 0)/(-1 + 2)`

`m = (2)/(1)`

m = 2

y - 0 = 2(x + 2)

y = 2x + 4

Line B

`m = (0 + 5)/(-6 + 1)`

`m = (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