UPSKILL MATH PLUS
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Learn more1. If \(n(A) = 36\), \(n(B) = 10\), \(n(A \cup B) = 40\), and \(n(A') = 27\), find \(n(U)\) and \(n(A \cap B)\).
Answer:
\(n(U) =\)
\(n(A \cap B) =\)
2. Let \(A = \{b, d, e, g, h\}\) and \(B = \{a, e, c, h\}\). Verify that \(n(A - B) = n(A) - n(A \cap B)\).
Answer:
\(n(A - B) =\) ---- (\(1\))
\(n(A) =\)
\(n(A \cap B) =\)
\(n(A) - n(A \cap B) =\) ---- (\(2\))
From equations (\(1\)) and (\(2\)), \(n(A - B) = n(A) - n(A \cap B)\).
Hence, we proved.
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