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Lef \(f: X \rightarrow Y\) and \(A, B\) are non-void subsets of \(Y\), then (where the symbols have their usual interpretation)
(A) \(f^{-1}(A)-f^{-1}(B) \supset f^{-1}(A-B)\) but the opposite does not hold
(B) \(f^{-1}(A)-f^{-1}(B) \subset f^{-1}(A-B)\) but the opposite does not hold
(C) \(f^{-1}(A-B)=f^{-1}(A)-f^{-1}(B)\)
(D) \(f^{-1}(A-B)=f^{-1}(A) \cup f^{-1}(B)\)

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Ans: (C)
Hint : According to definition \(f^{-1}(A-B)=f^{-1}(A)-f^{-1}(B)\).
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