State True or False- A- B-A- B-

The correct option is A TrueWe have the De Morgan's theorem,i) (A∪ B)=A'∩ B' ii) ( A∩ B)=A' ∪ B' .The given identity is the first one.Hence the this ...

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Byju's Answer

Standard XII

Mathematics

De Morgan's Law

State True or...

Question

State True or False: $(A \cup B)^{'} = A^{'} \cap B^{'}$

True

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False

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Solution

The correct option is A True
We have the De Morgan's theorem,
i) $(A \cup B) = A^{'} \cap B^{'}$
ii) $(A \cap B) = A^{'} \cup B^{'}$ .
The given identity is the first one.
Hence the this statement is true.

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State True or False: (A∪B)′=A′∩B′

The correct option is A TrueWe have the De Morgan's theorem,i) (A∪B)=A′∩B′ii) (A∩B)=A′∪B′.The given identity is the first one.Hence the this statement is true.

State True or False: $(A \cup B)^{'} = A^{'} \cap B^{'}$

The correct option is A True
We have the De Morgan's theorem,
i) $(A \cup B) = A^{'} \cap B^{'}$
ii) $(A \cap B) = A^{'} \cup B^{'}$ .
The given identity is the first one.
Hence the this statement is true.