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Not necessarily. The odd integers and the even integers are two infinitely large sets. But their intersection is the null (empty) set.

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Q: Is The intersection of two nonempty sets is always nonempty?
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Related questions

Do the intersection of two sets always contains a smaller number of terms than the union of two sets?

No, because the intersection of two equivalent sets will have a union the same size as its intersection.


The intersection of two sets of elements is represented by the word?

the intersection of two sets of elements is represented by the word: a)or b)and c)up


What is the meaning of intersection of two sets?

The intersection of two sets S and T is the set of all elements that belong to both S and T.


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You normally do not have an intersection of only one set. The intersection of a set with itself is the set itself - a statement that adds little value. The intersection of two sets is the set which contains elements that are in each of the two sets.


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That is called the intersection of the sets.


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I presume you mean intersecting. Two sets are intersecting if they have members in common. The set of members common to two (or more) sets is called the intersection of those sets. If two sets have no members in common, their intersection is the empty set. In this case the sets are called disjoint.


What is it when you have all the elements in two or more sets?

The set of elements that are elements of the two (or more) given sets is called the intersection of the sets.


Is the intersection of two infinite sets always an infinite set?

No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.


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What is the union intersection set?

Given two or more sets there is a set which is their union and a set which is there intersection. But, there is no such thing as a "union intersection set", as required for the answer to the question.