COMEDK · Maths · 20. Sets and Relations
Given the sets \(A = \{1,2,3\}\); \(B = \{2,3,5\}\) and \(C = \{4,5,6\}\) identify which of the following statement is incorrect.
- A \(n[(A \cup B) \cap (B \cap C)] = 1\)
- B \((A \cap B) \cap C = \emptyset\)
- C \((A \cap B) \cup C = A \cap (B \cup C)\)
- D \(B - C = \{2,3\}\)
Answer & Solution
Correct Answer
(C) \((A \cap B) \cup C = A \cap (B \cup C)\)
Step-by-step Solution
Detailed explanation
Given sets are \(A = \{1, 2, 3\}\), \(B = \{2, 3, 5\}\), and \(C = \{4, 5, 6\}\). Checking the first option: \(A \cup B = \{1, 2, 3, 5\}\) \(B \cap C = \{5\}\) \((A \cup B) \cap (B \cap C) = \{5\}\) \(n[(A \cup B) \cap (B \cap C)] = 1\). This is correct. Checking the second…
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