**"SETS " BY:**

SABICA AND SUMBUL 11G1

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