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What is the meaning of symmetric relations are closed under complementation ..?Please cite an example..
in Set Theory & Algebra by (18 points) | 16 views
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If a relation satisfying symmetric means,

(a,b) and (b,a) either both are present or both are present.

Let if the case both are present, then complement doesn't have both...

Vice versa Also..
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its not closed then ??
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Didn't you get what i said?
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now i got it if we do the complement of  (a,b) (b,a) which is symmetric it will not be having  (a,b) (b,a) and this relation is also symmetric right ?so its closed
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here's what i got
if (a,b) (b,a) are present then the complement won't be having both and if they are absent it will be having both so it should not be closed right ?
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it will not be having  (a,b) (b,a) and this relation is also symmetric right ?so its closed

Yes

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thanks a lot :)

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