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SETS

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by

sabica rasheed

on 30 November 2013

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Transcript of SETS

"SETS " BY:
SABICA AND SUMBUL 11G1

types of sets
universal set
union set
intersection set
complement set
subset
null or empty set
universal set
universal set is a set of all elements under consideration in a given discussion and is described with letter "U" .
INTERSECTION SET
Let A and B be two sets . Set of all common elements of A and B is called intersection of A and B.
for example: A={1,2,3,4,5}
B={2,3,7}
so, A B={2,3}
SUBSET
Set A is said to be subset of set B only if all elements of A are also elements of B. We use "A B" to indicate that A is a subset of B.
for example:
A={1,2,3} B={1,2,3,4,5}
IS A B?
(yes)
SETS
ANY COLLECTION OF OBJECTS IS A SET.
All sets are described as capital letters.
All elements in a sets are described as small letter.
The objects contained in a set are called its elements or members.
for example: S={a,b,c}






we can observe that a S which means "a" is an element or member
of set S
AND
d S which means d is not an element or member of set S....;

Number of elements in a set is described as "n".
for example: S={1,2,3,4,5,10,14}
so,
n(S)=7
Venn diagram
complement set
A complement of a set A refers to things not in (that is, things outside of) A. it is represented as A'.
for example: U={2,3,4,5,6,7,8}
A={2,5,7,8}
so, A'={3,4,6}
NULL OR EMPTY SET
A set that has no element should be called as Empty set.
The empty set is denoted as or
UNION SET
Let A and B be two sets. All elements in set A and B COMBINE will be union of sets and it denote by AUB.
for example : A={2,4,6,8}
B={4,8,10}
So, AUB={2,4,6,8,10}
A Venn diagram or set diagram is a diagram that shows all possible logical relations between a finite collection of sets
Full transcript