Sets

Sets

Secondary 4

\[B=\{1,2,3,4,5\},\qquad A=\{2,k\},\] where \(k\) is an integer.
Find every possible value of \(k\) if \[A\subset B\qquad\text{and}\qquad n(A)=2.\] Explain why \(k=2\) is excluded.

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Answer:\(k\in\{1,3,4,5\}\); \(k=2\) gives only one distinct element

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