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Question Number 117597 by Ar Brandon last updated on 12/Oct/20

$$\mathrm{Let}\mathrm{A},\mathrm{B},\mathrm{and}\mathrm{C}\mathrm{be}\mathrm{three}\mathrm{sets}\mathrm{and}\mathrm{X}\mathrm{be}\mathrm{the}\mathrm{set}\mathrm{of}\mathrm{all}$$$$\mathrm{elements}\mathrm{which}\mathrm{belong}\mathrm{to}\mathrm{exactly}\mathrm{two}\mathrm{of}\mathrm{the}\mathrm{sets}\mathrm{A},\mathrm{B}$$$$\mathrm{and}\mathrm{C}.\mathrm{Prove}\mathrm{that}\mathrm{X}\mathrm{is}\mathrm{equal}\mathrm{to}$$$$(\mathrm{A}\cup \mathrm{B}\cup \mathrm{C})-\left[\mathrm{A}\mathrm{\Delta }\left(\mathrm{B}\mathrm{\Delta }\mathrm{C}\right)\right]$$

Commented by prakash jain last updated on 13/Oct/20

$$$$$$$$$$\mathrm{The}\mathrm{result}\mathrm{is}\mathrm{clear}\mathrm{from}\mathrm{venn}\mathrm{diagram}.$$$$\mathrm{I}\mathrm{will}\mathrm{work}\mathrm{on}\mathrm{algebraic}\mathrm{prove}$$

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