Question

The set A union A is?​

Answer 1

Also, union is commutative, so the sets can be written in any order. The empty set is an identity element for the operation of union. That is, A ∪ ∅ = A, for any set A. Also, the union operation is idempotent: A ∪ A = A.

Answer 2

SOLUTION

TO DETERMINE

The set A ∪ A

EVALUATION

We know that A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Here the given set is A ∪ A

Now A ∪ A

= { x : x ∈ A ∨ A }

= { x : x ∈ A }

= A

Additional Information :

The above property is called Idempotent Property of Set theory

FINAL ANSWER

A ∪ A = A

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