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Show that if $A \subset B$, then $C-B \subset C-A$.
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Verified Answer
$x \in C-B \Rightarrow x \in C$ but $x \notin B$
$\Rightarrow x \in C$ but $x \notin A \Rightarrow x \in C-A$
$\therefore C-B \subset C-A$
$\Rightarrow x \in C$ but $x \notin A \Rightarrow x \in C-A$
$\therefore C-B \subset C-A$
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