For any two sets A and B, prove that A-(A )=A - B - Vidyadip

Question

For any two sets A and B, prove that
$\text{A}-(\text{A}\cap\text{B})=\text{A} - \text{B}$

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Answer

$\text{A – (A}\cap \text{B) = (A} -\text{A) }\cap\text{(A} - \text{B)}$
$= \phi \cap\text{(A – B)}$
$= \text{A} – \text{B}.$

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