Mathematics: 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

Pretty lengthy I’m not gonna lie...

which system of inequalities is represented by

livie225

13.01.2022

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

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