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Subjects
Mathematics State Board
Class 9
Set Language
De Morgan's Law
9.
Five mark exercise problems I
Exercise condition:
5
m.
Answer variants:
Verify \((A \cap B)' = A' \cup B'\) using Venn diagrams.
Proof
:
\(A \cap B =\)
\((A \cap B)' =\)
---- (\(1\))
\(A' =\)
\(B' =\)
\(A' \cup B' =\)
---- (\(2\))
From equations (\(1\)) and (\(2\)), we have \((A \cap B)' = A' \cup B'\).
Hence, we proved.
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