Question

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

Answer 1

Answer: d

Explanation:

Answer 2

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
`image`

Or

`2y +x \leq 4`

So answer is
`image`