Question

Explain equality in sets.

Answer 1

Two finite sets A and B are equivalent if their cardinal numbers are same

i.e n(A) = n(B)

Example: Let A= {1,2,3,4} and B = (2,4,5,6)

Here n(A) = 4 and n(B) = 4

So A and B are equivalent sets

Again Equivalent sets are not equal. So A and B are equivalent sets but not equal sets.

Again let A = {1,2,3,4} and B = {2,1,3,4}

Here A= B i.e. A and B are equal sets because each element of A is a member of B and each element of B is a member of A.

Answer 2

Answer:

Heyy!

Step-by-step explanation:

Contents. Definition (Equality of sets): Two sets are equal if and only if they have the same elements. More formally, for any sets A and B, A = B if and only if x [ x A x B ] . ... For example the cardinality of the set {3, 1, 2} is 3. Definition(Empty set): A set which has no elements is called an empty set.

Hope it helps!