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  • Help me answer: Which of the following is not a property of union of sets?

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)

best_answer

As we learnt 

 

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′

-

 

 

 


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}

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Himanshu

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