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# Is null set a proper subset of any set?

Updated: 4/28/2022

Wiki User

11y ago

yes, if the set being described is empty, we can talk about proper and improper subsets. there are no proper subsets of the empty set. the only subset of the empty set is the empty set itself. to be a proper subset, the subset must be strictly contained. so the empty set is an improper subset of itself, but it is a proper subset of every other set.

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11y ago

Anonymous

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3y ago

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Q: Is null set a proper subset of any set?
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### Does every set have a proper subset?

No. The null set cannot have a proper subset. For any other set, the null set will be a proper subset. There will also be other proper subsets.

### Is a nullset a proper subsets?

The null set is a proper subset of any non-empty set.

yes!

### What is the subset of null set?

The null set. Every set is a subset of itself and so the null set is a subset of the null set.

### Which set possesses only one proper subset?

A set with only one element in it. The only proper subset of such a set is the null set.

### What are the proper subsets of 36912 in matrix form?

The only proper subset of a set comprising one element, is the null set.

It's an axiom.

### Is a null set is always a part of a universal set?

Yes. A null set is always a subset of any set. Also, any set is a subset of the [relevant] universal set.

### Is a null set in mathematics a subset of every set?

Yes the null set is a subset of every set.

### Can any set be a proper set of itself?

NO- by definition a set is not a proper subset of itself . ( It is a subset, but not a proper one. )

### What is universal subset?

The null set. It is a subset of every set.

### Why is it that the null set is a subset of all sets?

-- The null set is a set with no members. -- So it has no members that are absent from any other set.