00:01
X and y are integers.
00:02
X is related to y if x plus y is even.
00:05
So the question is, is this relationship an equivalence relation? and if so, find the equivalence classes.
00:13
So first we have to check is are reflexive.
00:21
In other words, does, oops, not does.
00:27
Is x related to x? okay, x would be related to x if x, x plus x is even.
00:42
X plus x is equal to 2x.
00:48
So two times anything is even, which is even.
00:57
So x is related to x.
00:59
So r is reflexive.
01:06
2 is our symmetric.
01:12
That is, if x is related to y, then is y related to x? okay, let x be related to y.
01:31
Then x plus y is even...