Home
Class 12
MATHS
The union of two equivalence relations o...

The union of two equivalence relations on a set is not necessarily an equivalence relation on the set.

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that the intersection of two equivalence relations in a set is an equivalence relation and give an example to show that the union of two equivalence relations in a set is not necessarily an equivalence relation.

Show that the intersection of two equivalence relations in a set is again an equivalence relation in the set

If R and S are two equivalence relation on the set then prove that RcapS is also an equivlaence relation on the set.

If R and S are two equivalence relations on a set A then R nn S is also an equivalence relation on R.

Statement-1: The relation R on the set N xx N defined by (a, b) R (c, d) iff a+d = b+c for all a, b, c, d in N is an equivalence relation. Statement-2: The intersection of two equivalence relations on a set A is an equivalence relation.

Statement-1: The relation R on the set N xx N defined by (a, b) R (c, d) iff a+d = b+c for all a, b, c, d in N is an equivalence relation. Statement-2: The intersection of two equivalence relations on a set A is an equivalence relation.

Statement-1: The relation R on the set N xx N defined by (a, b) R (c, d) iff a+d = b+c for all a, b, c, d in N is an equivalence relation. Statement-2: The intersection of two equivalence relations on a set A is an equivalence relation.

Statement-1: The relation R on the set N xx N defined by (a, b) R (c, d) iff a+d = b+c for all a, b, c, d in N is an equivalence relation. Statement-2: The intersection of two equivalence relations on a set A is an equivalence relation.

Statement-1: The relation R on the set N xx N defined by (a, b) R (c, d) iff a+d = b+c for all a, b, c, d in N is an equivalence relation. Statement-2: The intersection of two equivalence relations on a set A is an equivalence relation.