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Q: Is null set both a complement and subset of universal set?
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What is universal subset?

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


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.


Is the complement of the complement of a universal set is called a null set?

yes


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.


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.


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


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.


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.


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.