COMEDK · Maths · 20. Sets and Relations
If \(A=\{a, b, c\}, B=\{b, c, d\}\) and \(C=\{a, d, c\}\) then \((A-B) \times(B \cap C)\) is equal to
- A \(\{(a, c),(a, d)\}\)
- B \(\{(c, a),(d, a)\}\)
- C \(\{(a, c),(a, d),(b, d)\}\)
- D \(\{(a, b),(c, d)\}\)
Answer & Solution
Correct Answer
(A) \(\{(a, c),(a, d)\}\)
Step-by-step Solution
Detailed explanation
Given sets \(A = \{a, b, c\}\), \(B = \{b, c, d\}\), and \(C = \{a, d, c\}\). First, determine \(A - B\). The set \(A - B\) contains elements that are in \(A\) but not in \(B\). \(A - B = \{a, b, c\} - \{b, c, d\} = \{a\}\). Next, determine \(B \cap C\). The set \(B \cap C\)…
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