Sets and set theory, Mathematics

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What is Sets and set theory?


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2/12/2013 5:27:35 AM

A set is a collection of distinct objects. We may consider the entire ocean in the world to be a set ALONG with the objects being whales, sharks, sea plants, and octopus and so on; also all the fresh water lakes in Africa can form a set. Assuming A to be a set

A = {4, 6, 8, 13}

The objects in the set that is the integers 4, 6, 8 and 13 are referred to as the elements or members of the set. The elements of a set can be listed in any type of order. For illustration,

A = {4, 6, 8, 13} = {8, 4, 13, 6}

Sets are usually precisely defined. Every element happens once and only once in a set. The notion is utilized to show membership of a set. ∉ represents non-membership. Conversely, in order to represent the fact that one set is a subject of other set, we employ the notion⊂. A set "S" is a subject of other set "T" if each element in "S" is a member of "T"

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