PDF chapter test TRY NOW
If \(U = \{x: x \in N, x \leq 10\}\), \(A = \{2, 3, 4, 8, 10\}\) and \(B = \{1, 2, 5, 8, 10\}\), then verify that \(n(A \cup B) = n(A) + n(B) - n(A \cap B)\).
Answer:
\(n(A \cup B) =\) ---- (\(1\))
\(n(A) =\)
\(n(B) =\)
\(n(A \cap B) =\)
\(n(A) + n(B) - n(A \cap B) =\) ---- (\(2\))
From equations (\(1\)) and (\(2\)), we have \(n(A \cup B) = n(A) + n(B) - n(A \cap B)\).
Hence, we proved.
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