Which of the following points lie in the solution set to the following system of inequalities?

y

Question

Which of the following points lie in the solution set to the following system of inequalities?

y < -3x + 3
y < x + 2

 (1, -5)

 (1, 5)

 (5, 1)

 (-1, 5)

luigi0210 · Answer

Here, have a pretty graph my dear :3

luigi0210 · Answer

Just look for a point that is within the shaded region of the graph~

accidentalaichan · Answer

Okay, let me try ;-; Thanks, hun~

luigi0210 · Answer

Yea, I see a problem with that.. nvm >.<
Hold on.

accidentalaichan · Answer

It almost looks like (1,5)

luigi0210 · Answer

Wait, I'm right, you have to find a point that's with BOTH shaded regions. And (1, 5) is out of the bounds of both.

luigi0210 · Answer

It would actually be (1, -5)

luigi0210 · Answer

Do see why tho? >_>

accidentalaichan · Answer

Yeah :3
This is always the hardest part xD

accidentalaichan · Answer

Let me check

luigi0210 · Answer

Also, if you plug it into the equation.. 
$$\LARGE y < -3x + 3$$
$$\LARGE y < x + 2$$
.
.
$$\LARGE -5<-3(1)+3$$
$$\LARGE -5<(1)+2$$
.
.
$$\LARGE -5<0$$
$$\LARGE -5<3$$

accidentalaichan · Answer

I see what I did wrong.
I forgot to substitute asdfghjkl

luigi0210 · Answer

Tis okay, at least you know your mistake :)