Consider the solution to the system of inequalities below. y> 1/3x-1 y≤4/3x+2 which of the following functions could be added to the system without changing the solution set? a) y = –2 b) y < –2 c) y < –3 d) y > –3

Step-by-step explanation:

The given system of inequalities is

The solution of a system of inequalities is always an area, because it must comprehend infinite solutions. This area is attached as an image.

In the image you can observe that the solution comprehend all points that are inside the area where the two colors intercept each other. You can also see that this area beigns at (-3,-2), and the red line is not solid, which is means that all values on that line are not valid as a solution.

Being said that, we can ensure that y > –3 doesn't represent any change for this system, because the solution is already all points major than -3. In other words, the unsolid red line exclude -3 as a solution, as y > –3 does, that's way it doesn't matter if we include this inequality.

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b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )