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If A and B ar...

Question

If A and B are two disjoint sets and N is the universal set then $A^{c} \cup [(A \cup B) \cap B^{c}]$ is

ϕ

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Solution

The correct option is D N
Since $A$ and $B$ are disjoint sets $B^{c} \cap (A \cup B)$ will be only $A$ as there is no intersection between $A$ and $B$ .

Of course $A^{c} \cup A = N$

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Similar questions

A^{\circ} \cup [(A \cup B) \cap B^{\circ}]

A

B

A - B =

B - A =

A & B

n (A \cup B) = n (A) + n (B) .

A, B

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1. n (A \cup B)^{'} = n (A^{'} \cap B^{'})

2.

A \cap B = ϕ,

A^{'} \cup B^{'} = U

3.

A \cup B = U,

A^{'} \cap B^{'} = ϕ

4.

A \subset B,

A^{'} \cup B^{'} = (A \cap B)^{'}

ϕ

A

B

n (A \cup B)

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