00:01
Hi, now we are going to check the given relation is equivalence or not.
00:06
In part a, the given relation is 2a plus 3b concurrent to 0 mod 5.
00:16
That is 2a plus 3b is a multiple of 5.
00:29
First one, reflexive.
00:36
Reflexive means a relation a.
00:43
Now, for any a belongs to z.
00:50
We get 2a plus 3a equal to 5a but we know that 5a is a multiple of 5 therefore this relation is a reflexive and the next relation is symmetric the symmetric relation is a relation b implies b relation a now a relation b is 2a plus 3b concurrent to 0 mod 5 and we get 2b plus 3a concurrent to 0 mod 5.
01:53
That is b relation a.
01:57
So from this we get the relation is symmetric.
02:09
And next, transitive a relation b and b relation c implies a relation c.
02:36
A relation c...