Which of the following is not a property of union of sets?

 

Option 1:

A\cup \left ( B\cup C \right )= \left ( A\cup B \right )\cup C

Option 2:

A\cup B= B\cup A

Option 3:

\left (A\cup B \right )^{c}= A^{c}\cup B^{c}

Option 4:

\left (A\cap B \right )^{c}= A^{c}\cup B^{c}

Answers (1)

UNION OF SETS -

Let A and B be any two sets. The union of A and B is the set which consists of all the elements of A and all the elements of B, the common elements being taken only once. The symbol ‘∪’ is used to denote the union.

- wherein

Symbolically, we write A U B = {x: x ∈ A or x ∈ B}.

De Morgans’s Law -

(A ∪ B)′ = A′ ∩ B′

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