A little general help (set relation/theory)

[Carmen12]

Hey guys! You were all so helpful with a set theory question I had so I was hoping you guys could get me started on something else.

Let A = [tex]\Gamma[/tex] x [tex]\Gamma[/tex] where [tex]\Gamma[/tex] represents the set of all real numbers. Thus A is the Cartesian Plane. Consider the collection p defined as follows:
p = {Ar for r [tex]\in[/tex][tex]\Gamma[/tex] } where Ar = {(x,y) | y = 3x + r}
a. Choose three different values of r and precisely graph the corresponding sets Ar’s.
b. Prove that collection p is a partition of A.
This is difficult because I missed the class when I had a bad infection and I'll be submitting my homework with this one blank today. But I know my professor is extremely busy this close to finals time and he doesn't have office hours I can meet with my other classes schedules. So I'm hoping someone here could just help me understand or point me towards a website?

Thanks so much!

 

[micromass]

What question do you have problems with? And what did you already try to solve that question??

 

[Carmen12]

What question do you have problems with? And what did you already try to solve that question??

I'm not sure if you read my whole post. I'm not looking for anyone to solve the problem, just some general advice. I was never taught anything about "graphing" sets or relations so the word "graph" is confusing me.

 

[micromass]

Graphing the set Ar just means that you mark all points (x,y) such that y=3x+r.
So graphing Ar actually comes down to graphing the line y=3x+r.