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What is universal subset?

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


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 null set both a complement and subset of universal 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.


Why a null set is subst of every set?

The definition of subset is ; Set A is a subset of set B if every member of A is a member of B. The null set is a subset of every set because every member of the null set is a member of every set. This is true because there are no members of the null set, so anything you say about them is vacuously true.


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

Yes the null set is a subset of every set.


Every subset of a null set is a null set?

yes


What are the relationship between sets universal complement and null set.?

I was told once that the null set is the compliment to the universal set... I'm not convinced of this, however because the null set is a subset of the universal set as well. While I can't think of anything offhand that would prevent both of these statements from being true, it seems to me that they are contradictory statements.


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 null set a proper subset?

yes!


If A-B equals null set then prove A subset of B?

A - B is null.=> there are no elements in A - B.=> there are no elements such that they are in A but not in B.=> any element in A is in B.=> A is a subset of B.


The null hypothesis for an anova states that?

The null hypothesis for a 1-way ANOVA is that the means of each subset of data are the same.