PLEASE HELP I'M SO CONFUSED!!

What graph best represents the feasibility region for the system below? (pictures)

Question

PLEASE HELP I'M SO CONFUSED!!

What graph best represents the feasibility region for the system below? (pictures)

bizzeizzy · Answer

attachment

misty1212 · Answer

HI!

misty1212 · Answer

you have to graph each line, or else use a the computer http://www.wolframalpha.com/input/?i=x \geq+0%2Cy%3C-x%2F8%2B5%2Cy%3E5x%2F8-1

misty1212 · Answer

misty1212 · Answer

it is always C

directrix · Answer

@bizzeizzy  I graphed the inequalities. I'll import that over here and then we will figure out which option is correct.

directrix · Answer

I don't know how much this plot will help. We'll see.

directrix · Answer

Let's look at the options. We may need to test points.

directrix · Answer

As we look at each option, each of the 3 inequalities has to be true within that shaded region.

bizzeizzy · Answer

wait is it A?

directrix · Answer

It looked like A but the shaded portion of option A does not drop below the x-axis. So, I moved on to another option.

bizzeizzy · Answer

so then C.

directrix · Answer

D is out.

So, yes, I agree with C.  Odd that somebody dropped that answer in but did not give a rationale.