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Question Number 175923 by CrispyXYZ last updated on 09/Sep/22
what are the differences among “ if ”, “ only if ” and “ if and only if ”?
$$\mathrm{what}\:\mathrm{are}\:\mathrm{the}\:\mathrm{differences}\:\mathrm{among}\:“\:{if}\:'',\:“\:{only}\:\:{if}\:''\:\mathrm{and}\:“\:{if}\:\:{and}\:\:{only}\:\:{if}\:''? \\ $$
Answered by Vynho last updated on 09/Sep/22
if=necessary condition only if = sufficient condition if and only if=necessary and sufficient condition
$${if}={necessary}\:{condition} \\ $$$${only}\:{if}\:=\:{sufficient}\:{condition} \\ $$$${if}\:{and}\:{only}\:{if}={necessary}\:{and}\:{sufficient}\:{condition} \\ $$

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