What is the system of inequalities associated with the following graph? 3x + y ≥ -3 x + 2y ≤ 4 -3x – y ≥ -3 x + 2y ≤ 4 3x + y ≥ -3 x – 2y ≥ 4 3x – y ≤ 3 x – 2y ≥ 4

Question

asked May 5, 2019 165k views

2 Answers

Botirla Sorin · Answer 1 · 2019-05-11T11:58:37+0000

One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3

and slope m =
((-3-3))/(0-(-2))

= (-6)/(2)= -3

So the equation of line will be
y= -3x -3

And the inequality should be
$y\geq -3x-3$

Or
$3x +y \geq -3$

And the other line passes through (-2,3) and (0,2)

So the y intercept is b=2

and the slope is
m= (2-3)/(0-(-2)) = (-1)/(2)

So the equation of line will be

Or

$2y +x \leq 4$

So answer is