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SETS well defined collection of objects (TYPES OF SETS (EQUIVALENT SETS…
SETS
well defined collection of objects
SOME OTHER TYPES OF SETS
POWER SET
Collection of all possible subsets of a given set
Example :Let A={1,2,3}
P (A)={{}, {1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}}
It is denoted by P(A).
UNIVERSAL SET
If there are some sets under consideration ,then the SETS of each of these is a subset ,IS called a UNIVERSAL SET
It is denoted by U.
Example:For set Z of all integers universal set can be set Q of rational numbers.
TYPES OF SETS
EQUIVALENT SETS
Example: Let A={1,2,3}& B={4,5,6}
Here A is equivalent to B.
Two finite SETS Aand B are EQUIVALENT I'd they have same number of elements.
EQUAL SETS
Example:Let A={1,2,3,4} & B={2,4,1,3}
Here A=B
Two SETS Aand B are equal if they have exactly same elements
INFINITE SET
Example :{1,2;3,.....}is an infinite set.
Set having infinite number of elements
FINITE SET
Example: {1,2,3} is a finite set.
Set having finite number of elements
EMPTY SET
EXAMPLE: A={×:× is a positive integer <1}
set having no element.
It is denoted by {} .
SINGLETON SET
Example:{0}is a SINGLETON SET.
set having only one element
by :shreya