Question

If A is any set and A is its complement, then A∪A

Answer 1

Answer:

In complement of a set if ξ be the universal set and A a subset of ξ, then the complement of A is the set of all elements of ξ which are not the elements of A.

Symbolically, we denote the complement of A with respect to ξ as A’.

For Example; If ξ = {1, 2, 3, 4, 5, 6, 7}

A = {1, 3, 7} find A'.

Solution:

We observe that 2, 4, 5, 6 are the only elements of ξ which do not belong to A.

Therefore, A' = {2, 4, 5, 6}