~~~~~~~~~~~~~~~FAN AND MEDAL~~~~~~~~~~~~ The graph below is represented by which system of inequalities? x − y 5 and 3x + y 3 x − y

Question

~~~~~~~~~~~~~~~FAN AND MEDAL~~~~~~~~~~~~ The graph below is represented by which system of inequalities? x − y > 5 and 3x + y > 3 x − y < 5 and 3x + y < 3 x − y < 5 and 3x + y > 3 x − y > 5 and 3x + y < 3

anonymous · Answer

attachment

anonymous · Answer

Solve for y to find the functions. Here's the first one written out:
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then you can graph to see which ones work
The shaded part is to the right, so it's going to be > .

anonymous · Answer

Are you asking me lol?

anonymous · Answer

I think its the first one.....
x - y > 5
-y > -x + 5 -->(-1)
y < x - 5
y int = -5, slope = 1, less then means shaded below the line

3x + y > 3
y > -3x + 3
y int = 3, slope = -3, greater then means it is shaded above the line

you might want to get a second opinion....I am not the best at graphing

anonymous · Answer

It sounds pretty right to me :)

anonymous · Answer

I think so...but like I said, graphing is not one of my better subjects

anonymous · Answer

lol ok let me see if @hero can confirm it

hero · Answer

Just simply test a point in the solution region

anonymous · Answer

where is that?

anonymous · Answer

Where it says Equation?

hero · Answer

The solution region is the green area. There are points in that region. Test them out.

anonymous · Answer

uh-oh....I think it is the 3rd one because a point in the green section (3,1) 3rd answer choice : x - y < 5 3x + y > 3 3 - 1 < 5 3(3) + 1 > 3 2 < 5 (correct) 9 + 1 > 3 10 > 3 (correct)

anonymous · Answer

option c?

anonymous · Answer

Hero said a set of points in the green section will make the inequality true. The set of points I picked was (3,1). It makes the inequalities in the answer choice C true. I would go with C

anonymous · Answer

Okay thank you!

anonymous · Answer

sorry about the wrong answer in the beginning

anonymous · Answer

Hero helped a lot on this one

anonymous · Answer

Its Perfectly fine lol , I wasnt done with it yet

anonymous · Answer

I am so glad you did not turn it in yet

hero · Answer

The graph was made to be tricky though. If you graphed the system in desmos, you'll see how it is supposed to look.

hero · Answer

Your teacher is wrong for not properly representing the system

anonymous · Answer

you saved my butt again Hero....thanks

hero · Answer

Here's how the actual graph looks. From there, it is clear to see what the overlapping region is. https://www.desmos.com/calculator/dimuhgzpw0

anonymous · Answer

That makes a difference