COMEDK · Maths · 20. Sets and Relations
If \(A=\{4,5,9\}\) and \(B=\{1,2,4,6\}\), then \((A \cup B) \cap(B-A)\) is
- A \(\{1,2\}\)
- B \(\{1,2,6\}\)
- C \(\{1,2,4\}\)
- D \(\{1,2,4,6\}\)
Answer & Solution
Correct Answer
(B) \(\{1,2,6\}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { We have, } A=\{4,5,9\} \\ & B=\{1,2,4,6\} \Rightarrow B-A=\{1,2,6\} \\ & \Rightarrow \quad A \cup B=\{1,2,4,5,6,9\} \\ & \therefore \quad(A \cup B) \cap(B-A)=\{1,2,6\} \end{aligned}\)
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