Cartesian Product of Sets | Find (A – B) × (B – C)
Question
If \( A = \{1, 2, 4\} \), \( B = \{2, 4, 5\} \), \( C = \{2, 5\} \), then \( (A-B)\times(B-C) \) is
(a) \( \{(1,2),(1,5),(2,5)\} \)
(b) \( \{(1,4)\} \)
(c) \( (1,4) \)
(d) none of these
Solution
\[ A-B=\{1\} \]
\[ B-C=\{4\} \]
\[ (A-B)\times(B-C) \]
\[ =\{1\}\times\{4\} \]
\[ =\{(1,4)\} \]
Hence, the correct answer is (b).