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SETS image 0 - Coggle Diagram
SETS
what are sets
Georg Cantor is the first mathematician who uses the “SET CONCEPT” in mathematics. He defines the set as “a collection of well - defined objects which are different from each other”
Example: A = { 1 , a , b , 3 }
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Component of Sets
UNIVERSAL SET (U)
The set that contains all the elements being discussed is called universal set, and it is denoted by U.
Example:
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Empty Set (null set):
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Example:
Finite sets
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Example:the set A = {1, 3, 5, 7, 9, 11} is a finite set with six elements
Infinite sets
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Exam: the set of all natural numbers N = { 0 , 1 , 2 , 3 , 4, ... }
Equal Sets
Two sets contain the same elements .If A and B are equal sets, it is denoted by A=B .
Example:
SUBSETS
If every element of a set A is an element of set B, then A is a set to be a subset of B shown by A⊆ B.
Example:
Proper subset
If a subset of a set is not equal to itself, it is called the proper subset. A⊂B or B⊃A
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OPERATIONS ON SETS
INTERSECTION OF SETS
elemets are common for A and B,
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COMPLEMENT OF A SET
all elements that are not in the set x in the universal set , denoted as x' ,
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