Question regarding finding the equivalence class.

Question

curry · Answer

attachment

curry · Answer

I am having trouble finding the correspoinding equivalence class. :/ How do i find it for this problem?

curry · Answer

@dan815 @ganeshie8

anonymous · Answer

you showed it was an equivalence relation right?

anonymous · Answer

so what, for example, is in the equivalence class of $2$?

curry · Answer

and when I'm proving that it's a equivalence relation, here was my work. can i have some validation here?

curry · Answer

So wouldn't the equivalence class for 2 be -2 and +2?

anonymous · Answer

yes

curry · Answer

so for any integer n, it'd be, -n and +n?

anonymous · Answer

in fact all equivalence classes have to elements, except 0 which is in its own class

curry · Answer

what would be the correct notation to write that all?

anonymous · Answer

idk depends on how you write them

anonymous · Answer

$$\{a,-a\}$$ maybe

curry · Answer

well usually, in class they said, {elements} << that was generally how they expressed it. but for htis case, i'm not too sure how to write it.

curry · Answer

and a = N?

anonymous · Answer

i do no like your proof however, you have the if and then in the wrong place

curry · Answer

oo! kk, i'll go back and edit that. How should i make it better?

anonymous · Answer

you want to show it is reflexive meaning $aRa$ you do not assume $aRa$ you prove $aRa$ i.e by saying 
"because |a|=|a|, it is true that $aRa$ so R is reflexive