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## Homework Statement

Suppose X is a non-empty set and f:X->power set of X (ie P(X)) is defined f(x) = X/x. Consider the subset Y

_{f}= {x in X such that x not in f(x)} of X. Determine Y

_{f}for the particular f we have just described.

## Homework Equations

## The Attempt at a Solution

Any suggestions would be helpful because I really don't know where to start on this problem...