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Let f : X rarr Y and A, B are non-void s...

Let `f : X rarr 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) sup f^(-1)(A-B)` but the opposite does not hold.

B

`f^(-1)(A) - f^(-1)(B) sub 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)`

Text Solution

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