Empty relation on set A and empty set has the same number of elements

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
True

We want to check if the number of elements in an empty set is equal to the number of elements in an empty relation. We know that an empty set does not have any element in it. So the number of elements will be zero. An empty relation is a relation in which no element is related to any element. In such a relation there won't be any element. So the number of elements is again zero, same as the number of elements in an empty set.

Suggest Corrections

Similar questions

Find the number of empty relation we can define on a non empty set A

The empty relation defined on a set of real numbers is transitive.

S = f (empty set)

A = {1, 2, 3}

Empty relation on a set A is the subset of Cartesian product $A \times A$

The relation "Is greater than" on the set {0, -1, 1} is an empty relation.

Join BYJU'S Learning Program