Question

A UNION A' IS EQUAL TO ?

Answer 1

Answer:

aProve union and intersection of a set with itself equals the set. by RoRi. June 20, 2015. Prove that A \cup A = A and A \cap A = A

Answer 2

SOLUTION

TO DETERMINE

A ∪ A'

CONCEPT TO BE IMPLEMENTED

SET :

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

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

Let U be the universal set

We know that for any set A

A'

= The complement of A

= { x ∈ U : x ∉ A }

Now A ∪ A'

= { x : x ∈ A ∨ x ∈ A' }

= { x : x ∈ A ∨ x ∉ A }

= U ( Universal Set )

FINAL ANSWER

A ∪ A' = U ( Universal Set )

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