Question # 01: Four option are given against each statement. Encircle the correct option.
\((iii)\) If \( U=\{1,2,3,4,5\}\), \(A=\{1,2,3\}\) and \(B=\{3,4,5\}\), then \(U-( A\cap B)\) is:
\( a) \quad \) \( \{1,2,4,5\}\)
\( b) \quad \) \(\{2,3\} \)
\(c) \quad \) \(\{ 1,3,4,5\} \)
\( d) \quad \) \( \{1,2,3\}\)
Answer: \( a) \; \) \( \{1,2,4,5\}\)
Explanation:
\(A\cap B\)\(\ =\ \)\(\{1,2,3\}\)\(\cap\)\(\{3,4,5\}\)
\(\ \ \ \ \ \ \ \ \ \ \ =\{3\}\)
\(U-( A\cap B)\)\(\ =\ \)\(\{1,2,3,4,5\}\)\(\ -\ \)\(\{3\}\)
\(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\{1,2,4,5\}\)