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If A, B, C are three sets such that

Question:

If ABC are three sets such that AB">ABA⊂B, then prove that $C-B \subset C-A$

 

Solution:

Let $a \in C-B$

$\Rightarrow a \in C$ and $a \notin B$

$\Rightarrow a \in C$ and $a \notin A \quad[\because A \subset B]$

$\Rightarrow a \in C-A$

Hence, $C-B \subset C-A$

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