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Question Number 145459 by syamilkamil1 last updated on 05/Jul/21

$$prove(A-B)-C=A-(B\cup C)$$

Answered by liberty last updated on 05/Jul/21

$$A-B=A\cap B^c$$$$\Rightarrow (A-B)-C=(A\cap B^c)\cap C^c$$$$=A\cap (B^c\cap C^c)$$$$=A\cap {(B\cup C)}^c$$$$=A-(B\cup C)$$

Commented by syamilkamil1 last updated on 07/Jul/21

$$thanksSir$$

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