Question

Inequality help! Will fan and medal!
Write and inequality for the graph.
http://prntscr.com/8ou82c

Answer 1

A

Answer 2

Do you have an explanation as to why it's A? JW

Answer 3

After you get you equation, try pluging in various values of Y and X to confirm your answer

Answer 4

Okay. I'll try some.

Answer 5

Or more precisely it has a closed domain

Answer 6

I still don't understand lol

Answer 7

Okay...i will explain in a minute

Answer 8

Okay, thanks.

Answer 9

From the graph I see this:
y-intercept is 5
slope is (5 - 0/(0 - (-6)) = 5/6
shaded area is under the line
line is solid

From the slope and y-intercept, the equation of the line is (slope-intercept form)
y = (5/6)x + 5
From the shading under the line, the inequality must have a < or <= (in the slope-intercept form.).
Because of the solid line, the inequality sign is <=.

That means this inequality:
y <= (5/6)x + 5

Now subtract the x-term from both sides:
-(5/6)x + y <=5

Multiply both sides by 6:
-5x + 6y <= 30

Multiply both sides -1 (notice the inequality sign changes direction):
5x - 6y >= -30

Answer 10

So D's the answer, then?

Answer 11

Yes.

Answer 12

Thanks!

Answer 13

You're welcome.

Answer 14

Thanks @mathstudent55 ..

Answer 15

@Jhulian You're welcome.