Algebra

# What is the set of members that two or more sets have in common?

012 ###### 2013-12-04 17:34:18

That is called the intersection of the sets.

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## Related Questions 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. There are various types of sets. A finite set has a limited number of members, such as the letters of the alphabet; an infinite set has an unlimited number of members, such as all whole numbers; an empty or null sethas no members, such as the number of people who have swum across the Atlantic Ocean, written as {} or &Atilde;&cedil;; a single-element set has only one member, such as days of the week beginning with M, written as {Monday}. Equal sets have the same members; for example, if W = {days of the week} and S = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}, it can be said that W = S. Sets with the same number of members are equivalent sets. Sets with some members in common are intersecting sets; for example, if R = {red playing cards} and F = {face cards}, then Rand Fshare the members that are red face cards. Sets with no members in common are disjoint sets. Sets contained within others aresubsets; for example, V = {vowels} is a subset of L = {letters of the alphabet}.Read more: Kinds_of_sets a set that is empty; a set with no members. Kinds of sets are: infinite set-the set continues on for infinity.There may not be an infinite amount of a thing you wear, it is limited to numbers. finite set-it has finite (countable) number of elements, it has unlimited numbers. numerical set-a set having only numbers as its elements, set prime numbers (2,3,5,7,11,13,17..) equal set-two sets are equal if they have precisely the same numbers. null set-its is a set with no elements or numbers. equivalent set-sets with the same numbers of members . intersecting sets-sets with some members in common. subsets-sets contained within others are subset. 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} -- The null set is a set with no members. -- So it has no members that are absent from any other set. Joint sets are sets that have common element. 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. Sets are not disjants, they are disjoint. And two sets are disjoint if they have nothing in common. For example, the set {1,3,5} has nothing in common with the set {2,4,6}. So they are disjoint. what are the kinds of setsIn mathematics, any collection of defined things (elements), provided the elements are distinct and that there is a rule to decide whether an element is a member of a set. It is usually denoted by a capital letter and indicated by curly brackets {}.For example, L may represent the set that consists of all the letters of the alphabet. The symbol &Icirc; stands for 'is a member of'; thus p &Icirc; L means that p belongs to the set consisting of all letters, and 4 &Iuml; L means that 4 does not belong to the set consisting of all letters.There are various types of sets. A finite set has a limited number of members, such as the letters of the alphabet; an infinite set has an unlimited number of members, such as all whole numbers; an empty or null set has no members, such as the number of people who have swum across the Atlantic Ocean, written as {} or &oslash;; a single-element set has only one member, such as days of the week beginning with M, written as {Monday}. Equal sets have the same members; for example, if W = {days of the week} and S = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}, it can be said that W = S. Sets with the same number of members are equivalent sets. Sets with some members in common are intersecting sets; for example, if R = {red playing cards} and F = {face cards}, then R and Fshare the members that are red face cards. Sets with no members in common are disjoint sets. Sets contained within others are subsets; for example, V = {vowels} is a subset of L = {letters of the alphabet}.Sets and their interrelationships are often illustrated by a Venn diagram.See related link below for more information The least common multiple, or LCM, is the smallest number that all the members of a given set can divide into evenly with no remainder. A relationship is a way of associating members of one set to members of another set (the two sets could be the same). The first of these sets is the domain and the second is the range. Yes. Union is an operation in which all the members of any two sets are placed in a common set. The union operation can be applied to the null set and any set but since it has no members, it does not change the set the union is taken with. It is rather like adding 0 to a number. In mathematics, any collection of defined things (elements), provided the elements are distinct and that there is a rule to decide whether an element is a member of a set. It is usually denoted by a capital letter and indicated by curly brackets {}.For example, L may represent the set that consists of all the letters of the alphabet. The symbol &Icirc; stands for 'is a member of'; thus p &Icirc; L means that p belongs to the set consisting of all letters, and 4 &Iuml; L means that 4 does not belong to the set consisting of all letters.There are various types of sets. A finite set has a limited number of members, such as the letters of the alphabet; an infinite set has an unlimited number of members, such as all whole numbers; an empty or null set has no members, such as the number of people who have swum across the Atlantic Ocean, written as {} or &oslash;; a single-element set has only one member, such as days of the week beginning with M, written as {Monday}. Equal sets have the same members; for example, if W = {days of the week} and S = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}, it can be said that W = S. Sets with the same number of members are equivalent sets. Sets with some members in common are intersecting sets; for example, if R = {red playing cards} and F = {face cards}, then R and Fshare the members that are red face cards. Sets with no members in common are disjoint sets. Sets contained within others are subsets; for example, V = {vowels} is a subset of L = {letters of the alphabet}.Sets and their interrelationships are often illustrated by a Venn diagram.See related link below for more information The difference between joint sets and disjoint sets is the number of elements in common. A disjoint set, in math, does not any elements in common. A joint set must have at least one number in common. Joint sets are sets with common elements among them. An example of a joint set, showing the common element, is J=1,2,3,4 and K=5,2,6,7. The number two is the common element among the two sets and therefore considers these sets joint. There is no such thing as a "set of all sets". To be more precise, the idea of a "set of all sets" leads to contradictions; therefore this term is avoided in set theory. Check the Wikipedia article on "Universal set" for more details. 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 set of elements that are elements of the two (or more) given sets is called the intersection of the sets. A set is a collection of distinct,symbols in ordered objects. Sets are typically collections of numbers, though a set may contain any type of data (including other sets).The objects in a set are called the members of the set or the elements of the set.A set should satisfy the following:1) The members of the set should be distinct.(not be repeated)2) The members of the set should be well-defined.(well-explained) The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. intercession meaning is common place of two sets If set A and set B are two sets then A is a subset of B whose all members are also in set B. That depends on the rules set up by the specific committee, but a common requirement is that MORE THAN HALF of the members be present.

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