Show that if A subset B, then (C-B) subset( C-A)

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1.Set Theory

easy

Show that if $A \subset B,$ then $(C-B) \subset( C-A)$

Option A

Option B

Option C

Option D

Solution

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 $x \notin A[A \subset B]$

$\Rightarrow x \in C-A$

$\therefore C-B \subset C-A$

Standard 11

Mathematics

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