What is the inequality for the graph?
I just need someone to check to see if my answer is right.

Question

What is the inequality for the graph?
I just need someone to check to see if my answer is right.

vampirediaries · Answer

$$y \ge -x+6$$         or
$$y \ge-\left| x-5 \right|+1$$

igreen · Answer

It's obviously not the first option..otherwise the outline would be a straight line.

igreen · Answer

@vampirediaries

vampirediaries · Answer

True. What about the second inequality?

vampirediaries · Answer

@iGreen

igreen · Answer

You only have 2 choices..don't you?

igreen · Answer

Well the second one looks incorrect also..

vampirediaries · Answer

It's an open-ended question

vampirediaries · Answer

@iGreen

igreen · Answer

What do you mean..?

vampirediaries · Answer

I don't have any answer choices to pick from, so I have to create an equality

igreen · Answer

Oh, okay.

vampirediaries · Answer

Can you help me figure out the equality?

igreen · Answer

Is the line dotted or solid..?

igreen · Answer

It looks solid to me.

vampirediaries · Answer

Yeah, it's a solid line

igreen · Answer

Okay, the inequality is going to be:

$y \ge |x - 5| + 1$

igreen · Answer

You can graph it here to see for yourself: https://www.desmos.com/calculator

igreen · Answer

Just copy and paste it into a box on the left.

igreen · Answer

I just experimented with the graph..

igreen · Answer

Well subtracting the x in the brackets shifts it to the right, and adding it shifts it to the left. Adding outside of the bracket makes it go up, and subtracting outside of the bracket makes it go down.

igreen · Answer

Therefore, you subtract x in the bracket by 5, and you add outside of the bracket by 1.

vampirediaries · Answer

Ok. So, what about the y-intercept? y=6

igreen · Answer

Yeah, the y-intercept is 6.

igreen · Answer

@vampirediaries

vampirediaries · Answer

So I just leave it out of the inequality?