Math and Arithmetic
Algebra

# What is the union intersection set?

012 ###### 2013-09-22 18:29:45

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.

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## Related Questions Union: putting the elements of the sets together Intersection: getting the common elements of the sets Example: Set A={1,2,3} Set B={2,3,4,5} Union of Sets A&amp;B= {1,2,3,4,5} Intersection of Sets A&amp;B = {2,3} The concept of closure: If A and B are sets the intersection of sets is a set. Then if the intersection of two sets is a set and that set could be empty but still a set. The same for union, a set A union set Null is a set by closure,and is the set A. union means to group the given sets. where as intersection means to pick out the common elements from the given sets. if set a has 1,2,3 elements and B has 1,2,3,4,5. then its union will have 1,2,3,4,5 as its elements. and its intersection will have 1,2,3 as its elements. if we have set A and B consider A={1,2,3,4}and B={3,4,5,6} the union of these sets is A and B={1,2,3,4,5,6}and the intersection is{3,4} the union and the intersection are same only if A=B The main set operations are: union, intersection and complement. If B = {10111213} and C = {1213} then their intersection is the empty set, {}.The union of A with an empty set is set A. The basic operations are union, intersection and complement. union of sets,intersection of sets,difference of sets,ordered pair,ordered n-touples,cartician product of setThe basic operations are union and intersection. The complement of the set is also a basic operation. 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. Union of Sets | Intersection of Set | Difference of Set | Complement of Set | Ordered Pair | Equality or Ordered n-tuples | Cartesian Products of Set :))♥ No, because the intersection of two equivalent sets will have a union the same size as its intersection. Yes. the set of rational numbers is a countable set which can be generated from repeatedly taking countable union, countable intersection and countable complement, etc. Therefore, it is a Borel Set. No, only if both sets are empty. The intersection of disjoint sets is always empty. The UNION of two sets is the set of elements which are in either set. For example: let C = (4, 5, 6) and let D = (6, 7, 8). Now the UNION of C and D, written C D = (4, 5, 6, 7, 8). There is no need to list the 6 twice. The INTERSECTION of two sets is the set of elements which are in both sets. For example: let C = (4, 5, 6) and D = (6, 7, 8). The INTERSECTION of C and D, written C D = (6).  A set is a collection of distinct objects. Operations of sets include union, intersection, difference, complement, Cartesian product and n-tuple. A = { 0 } B = { 0, 1 } Or, in fact, any set would would, as long as A = B. Or A = an empty set. The union of two or more sets is a set containing all of the members in those sets. For example, the union of sets with members 1, 2, 3, and a set with members 3, 4, 5 is the set with members 1, 2, 3, 4, 5. So we can write:Let A = {1. 2. 3} and B = {3, 4, 5}, thenA&cup;B = {1, 2, 3, 4, 5}The intersection of two or more sets is the set containing only the members contained in every set. For example, the intersection of a set with members 1, 2, 3, and a set with members 3, 4, 5 is the set with only member 3. So we can write:Let A = {1. 2. 3} and B = {3, 4, 5}, thenA &cap; B = {3} is the result after doing intersection on 2 or more sets. It contains the elements which are common to all the sets on which intersection were done. 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. 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 is the set of solutions that satisfy two or more mathematical expressions. Partitioning is dividing a set of things into subsets such that the union of all the subsets is the original set and the intersection of any two subsets is the null set. That is, between them, the subsets account for the whole of the original set and there are no elements in more than one subset. The eight (8) grouping symbols related to set theory include the following: &isin; "is an element (member) of" &notin; "is not an element (member) of" &sub; "is a proper subset of" &sube; "is a subset of" &nsub; "is not a subset of" &empty; the empty set; a set with no elements &cap; intersection &cup; union In set theory, the symbol of intersection is &acirc;&circ;&copy;, like an upside down U.

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