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With the help of Venn diagram prove that : ( A B )' = A' B'

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With the help of Venn diagram prove that :
$(A \cup B)^{'} = A^{'} \cap B^{'}$

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With the help of Venn diagram prove that :

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

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Text solutionVerified

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

Shaded region

(A \cup B)^{'}

Horizontal shaded A'

Vertical shaded region B'

Cross shaded region

A^{'} \cap B^{'}

Hence

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

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Question Text	With the help of Venn diagram prove that : $(A \cup B)^{'} = A^{'} \cap B^{'}$
Answer Type	Text solution:1
Upvotes	150