Originally Posted by
MMM88 Hello,
I just have a question concerning properties of relations.
I'm wondering, if we wanna check wheter a relation is symmetric or not, is it ok to consider identical pairs..??
You know like.. R = {(a,b) | a^2 = b^2}.. R is defined on the integers.
Now the way I'm thinking of this is like.. lets take a look at (1,2) & (2,1) obviously the square of 1 doesnt equal the square of 2 so its not symmetric. But can we instead, consider a pair like (1,1) or (2,2).. which in that case can make the relation symmetric...???