DIFFICULT ALGEBRA QUESTION-
A system of linear inequalities is shown below:

y − x 0
x + 1
or
y−x0
x+10

Which of the following graphs best represents the solution set to this system of linear inequalities?

Question

DIFFICULT ALGEBRA QUESTION-
A system of linear inequalities is shown below:

y − x > 0
x + 1
or 
y−x>0
x+1>0

Which of the following graphs best represents the solution set to this system of linear inequalities?

akgorgeous · Answer

akgorgeous · Answer

@3mar

3mar · Answer

Well, I am here.

akgorgeous · Answer

i need help finding the correct graph.

3mar · Answer

y − x > 0 
x + 1

can you correct the second one?

akgorgeous · Answer

how would i do that?

3mar · Answer

We would be given two inequalities but actually we got only one and the second is not!

akgorgeous · Answer

so how would i make that (x +1) into an inequality

3mar · Answer

Can you upload the question as a picture or copy and paste it correctly?

akgorgeous · Answer

attachment

3mar · Answer

So they would be:
$$y-x>0\x+1>0$$

so they have the forms:
$$y>x\x>-1$$

akgorgeous · Answer

okay so how would i translate that into a graph?

3mar · Answer

Can you plot the lines $y=x ~and~x=-1$?

akgorgeous · Answer

i did

akgorgeous · Answer

i just need to know which area is shaded

3mar · Answer

Yes, That is very good point!

First of all, are these line dotted or solid?

You know how to know?

akgorgeous · Answer

its not b or c and the line is dotted

akgorgeous · Answer

and the shading is above the line

3mar · Answer

Yes, they are dotted as the inequalities signs are > and < , but not $\ge$ not $\le$

3mar · Answer

and the simple test is to check the origin point (0,0), is it satisfies the first and second inequalities or not?

Can you test it?

akgorgeous · Answer

yes it does

3mar · Answer

does for which inequalities?

akgorgeous · Answer

i have the lines down i just need to get the shaded part.

akgorgeous · Answer

i think its D because it includes positive 1

3mar · Answer

|dw:1481573529945:dw|