00:01
Hello students we have a question if r is a relation in set x such that r inverse is equal to r then the relation r is we have four given different options so we will start our solution we have given a relation r on set x r is a relation on set x so this relation can be of the type r can be of the type a, b, where a and v belongs to x.
00:46
So this could be that relation r on set x.
00:50
So if we find the inverse of this relation, then r inverse will be equal to according to the definition of r inverse.
00:59
So r inverse can be found by changing the domain of r into range and range of r into so here, if we look at the domain of r, so we have r, domain of r is equal to a and range of r is equal to b, if we change, b range into domain and domain into range, then we get a relation that is called the inverse of the given relation.
01:24
Side stage, a, b, belongs to r.
01:30
So this is the definition of inverse of any relation.
01:33
Inverse of any relation can be found by changing domain.
01:36
Of the relation into range and range of the relation into domain.
01:42
So according to the given condition, r inverse is equal to r...