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Is the empty set reflexive

Updated: 4/28/2022
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11y ago

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The empty set is both reflexive and irreflexive.

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11y ago
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Q: Is the empty set reflexive
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What does reflexive property looks like?

The binary operator ~ is reflexive if a ~ a for every element a in the relevant set.


Is a empty set a proper subset explain with reason?

An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.


Is an empty set a subset of itself?

Yes it is. Everything in the empty set (which is nothing of course) is also in the empty set. If it's not in the empty set, it's not in the empty set. The empty set has no propersubsets, though, or subsets that are different from it.


Is an empty set a subset of every set?

Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.


Is the divides relation on the set of positive integers is reflexive?

No, it is not.


What is the total number of reflexive and symmetric relations on a set containing n elements?

the total no of reflexive relation on an n- element set is 2^(n^2-n).


What is the meaning of empty set?

The empty set is the set that contains no elements. (It is the empty set, not an empty set, because there is only one of them. It is a unique mathematical object.)


What is empty set?

difinition of empty set


What isan empty set?

The empty set is a set that has no elements.


What will be the representation of subset of a empty set?

The only subset of an empty set is the empty set itself.


Is empty set a set and how?

empty set is a set because its name indicate as it is the set.


Why empty set is proper subset of every set?

It isn't. The empty set is a subset - but not a proper subset - of the empty set.