Can someone please help me figure this out? I will medal!

Question

ms-brains · Answer

attachment

ms-brains · Answer

I tried using desmos and punching in 

A. x ≤ - 2;y ≤ - x - 3
B. x < - 2;y ≤ - x - 2 
C. x < - 2;y ≤ -x +2
D. x < -3;y < - x -2

But it won't for some reason..

ms-brains · Answer

@jim_thompson5910 Do you mind helping me with 2 more problems?

jim_thompson5910 · Answer

what is desmos showing?

ms-brains · Answer

"Sorry I don't understand this"

jim_thompson5910 · Answer

are you able to graph x ≤ - 2 using desmos?

ms-brains · Answer

Yes

jim_thompson5910 · Answer

what do you notice about the boundary line?

jim_thompson5910 · Answer

is it solid? or dashed?

ms-brains · Answer

Solid

jim_thompson5910 · Answer

compare it with the drawing given to you. Is that vertical line solid? or dashed?

ms-brains · Answer

Oh! I see where you're going with this. Okay give me a sec to try out the others.
A is not the choice because the first line needs to be solid.

jim_thompson5910 · Answer

correct. A is not the answer because x <= -2 makes a solid vertical line but the given drawing has a dashed vertical line

ms-brains · Answer

The correct answer is C. It is the only one with a dotted first, and solid second line

jim_thompson5910 · Answer

are you sure? look at the second inequality of choice C (look carefully at the right hand side)

ms-brains · Answer

This what I get when I put C in

ms-brains · Answer

It looks correct

jim_thompson5910 · Answer

but the diagonal line is too high up

jim_thompson5910 · Answer

compare the y intercepts of the two diagonal lines

ms-brains · Answer

Okay, so A and C are out of it. That leaves two choices of B and D. gimme sec to look at them

ms-brains · Answer

It's B. The correct one

jim_thompson5910 · Answer

yep, it's B

ms-brains · Answer

Awesome! I'm going do the other one myself ^-^ Thanks again!

jim_thompson5910 · Answer

no problem