in Set Theory & Algebra
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Let $f$ be a function from $A$ to $B$. Let $S$ and $T$ be subsets of $B$. Show that

  1. $f^{-1}(S \cup T) = f^{-1}(S) \cup f^{-1}(T)$
  2. $f^{-1}(S \cap T) = f^{-1}(S) \cap f^{-1}(T)$
in Set Theory & Algebra
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