Show that if $A \subset B,$ then $(C-B) \subset( C-A)$
Show that if $A \subset B,$ then $(C-B) \subset( C-A)$
Let $A \subset B$
To show: $C-B \subset C-A$
Let $x \in C-B$
$\Rightarrow x \in C$ and $x \notin B$
$\Rightarrow x \in C$ and $x \notin A[A \subset B]$
$\Rightarrow x \in C-A$
$\therefore C-B \subset C-A$
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