Easily. Indeed, it might be empty.
Consider the set of positive odd numbers, and the set of positive even numbers. Both are countably infinite, but their intersection is the empty set.
For a non-empty intersection, consider the set of positive odd numbers, and 2, and the set of positive even numbers. Both are still countably infinite, but their intersection is {2}.
the intersection of two sets of elements is represented by the word: a)or b)and c)up
The intersection of two sets, X and Y, consists of all elements that belong to both X and Y.
The difference between defined and undefined terms is that the defined terms can be combined with each other and with undefined terms to define still more terms. These are undefined terms: 1.plane 2.point 3.line These are defined terms: 1.ray 2.union of sets 3.space 4.subset 5.set 6.proper subset 7.opposite rays 8.postulate 9.betweenness of points 10.bisector of a segment 11.midpoint of a segment 12.line segment 13.lenght of a segment 14.collinear points 15.complement of a set 16.coplanar points 17.disjoint sets 18.element 19.empy set 20.finite set 21.geometry 22.infinite set 23.intersection of sets
Subsets of Sets was created in 2001-08.
Yes. Equivalent means equal.
There are finite sets, countably infinite sets and uncountably infinite sets.
Closed sets and open sets, or finite and infinite sets.
Finite, countably infinite and uncountably infinite.
One possible classification is finite, countably infinite and uncountably infinite.
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.
A set is finite if there exists some integer k such that the number of elements in k is less than k. A set is infinite if there is no such integer: that is, given any integer k, the number of elements in the set exceed k.Infinite sets can be divided into countably infinite and uncountably infinite. A countably infinite set is one whose elements can be mapped, one-to-one, to the set of integers whereas an uncountably infinite set is one in which you cannot.
The way I understand it, a finite set can not be an infinite set, because if it were an infinite set, then it would not be a finite set, and the original premise would be violated.
Closed sets and open sets, or finite and infinite sets.
Closed sets and open sets, or finite and infinite sets.
Closed sets and open sets, or finite and infinite sets.
They are both infinite sets: they have countably infinite members and so have the same cardinality - Aleph-null.
finite and infinite sets