HOME | CLASSVI | CLASSVII | CLASSVIII | CLASSIX | classX| FAQ| TESTIMONIAL VENN DIAGRAM
VENN DIAGRAM:The logical relationship of sets represented
in diagram is called venn diagram.
 Lets understand in better way with some diagrams.
Q1.A(intersection)B is shown in red color
2.AUB is shown in Q2.
3.U={5,10,25,8,31} where U is universal set,A={x:x is multiple of 5},B={X:X is a odd number}
4.A={It shows the features of Whales},B={It shows the features of fish}
5.A={x:x E N,x is a first 10 multiples of 2},B={x:x E N,x is a first 6 multiples of 3}

****** SETS AND VENN DIAGRAM ******

*Set:Collections of well-defined objects is called Set.

*Elements of set:The objects of a set are called its member or elements

*Finite set: The set having fixed number of elements is called finite set.

*Infinite set: The set having uncountable no of elements icalled infite set.

*Null or empty set: The sets having no elements is called null set or empty set.

*Cardinal number of set: The number of elements in a set is called cardinal number of sets.
Sets are represented in two different ways:Roaster method/tabularform and Set-builder Form/Rule method.
*Roaster method:In this method ,the elements of the sets presented or written directly.
*Set builder form: In this method inspite of showing the elements,description of the elements are shown.
With following eg. are it can be explained in better way.
Roaster form: {8,10,12,14,16,18} Set-builder form : {x|x=2*n,nEN,4<=n<=9}
Roaster form: {16,25,36,49,81,100} Set-builder form:{x|x=n*n,nEN,4<=n<=10}
Roaster form:{5,6} Set-builder form:{x|x is a factor of equation x*x+11*x+30}

* Two sets A and B are said to be equal,if every element of A and B are same

*Two sets A and B are said to be equivalent if n(A) = n(B) ,n(A)= no. of elements in set A and n(B)=no. of elements in set B.

* Union of sets: Two sets A and B are called union of sets ,all the elements of sets A and Set B is present in set.
It is represented like A U B.

* Intersection of sets:Two sets A and B are called intersection of sets ,all the common elements of sets A and Set B is present in set.

* Subset:If every element of set A is in set B,then A is called subset of B,denoted by A C B

Some solved examples given below :

Q:Show the following Roaster form set into Set builder form
a){1,2,3,5,7,11,13,17,19,23,29}
b){9,36,81,144,225}
c){2,6}

Ans: a){x|x is prime number, 1<=x<=30}

b){x| x is square of multiples of 3,1<=x<=5}

c){x|x is factor of(x-6)(x-5)}

 Q:Show the following Set builder form set into Roaster form
a){x|x is vowel in word elephant}
b){x|x E months of 30 days.}
c){x|x is factors of 72.}
Ans:a) {e,a}
b){April,june,September,November}
c){2,3,4,6,8,9,12,24,36,72}
Q:Check whether the following pair of sets are equal , equivalent or not ?
a) A = {x|x is vowel} , B = {1,2,3,4,5}
b) A= {x|x = 3*n,xEN,n<=5},B= {3,6,9,12,15}
c) A= {x|x = 2*n,xEN,n<=5}, B = {1,2,3,4,5}		 Q:Check whether set A is subset of set B or not
a)A= {1,2,3,4,5} B={1,2,3,4,5}
b)A= {2,3,4,5} B= {1,3,5,7,9,11,13}
c)A= {x|x = 2*n,xEN,n<=10} B={x|x is first twenty natural numbers.}
Q: A={9,36,81,144,225} B= {x|x = 3*n,xEN,n<=5}
Find a) A U B b)A U (A U B)
c) A intersection B d)A intersection(A intersection B)
Ans: a) A U B = {3,6,9,12,15,36,81,144,225}
b)A U (A U B) ={3,6,9,12,15,36,81,144,225}
c)A intersection B ={9}
d)A intersection(A intersection B) = {9}
 Q: A = {1,2,3,4,5} B = {1,2,3,4,5,9,11,13}
a) A-B
b) Give one example of disjoint sets.
c) give two examples of infinite sets.
Ans:a) {9,11,13}
b) Disjoint set: A = {1,2,3,4,5} B= {9,11,13}
c) two examples of infinite sets: A={x|xEN},B={x|x is star in the universe}

**** TRY BY YOURSELF****

Q:1 State which of the following is finite set and infinite set.
a){x|x is star in the universe}
b) {x|xEN}
c) {1,2,3,4,5}
d){9,11,13}
e)a){x|x is letter in elephant}

Q:2 State which of the following is finite,singleton and empty set.
a){x|x is vowel in ant}
b){x|x is consonant in eeg}
c){x|x is month of 28 days in a year}
d){x|x is positive multiple of 10,x<10}
e){x|x is multiple of 2,x= 2*n+1,nEN}

Q:3 Write the following sets into set builder form a) {1,3,5,7,9}
b) {17,34,51,68,95}
c) {a,e,i,o,u}
d) {January,june,july}
e) {lake,pond,ocean,river,sea}

Q:4 Write the following sets into Roaster form
a) {x|x is Metro city of India}
b){x|x is factor of 144}
c){x|x is planet in solar system}
d){x|x =2*n+3,1<=n<=6}
e){x|x is frst five multiples of 23}

Q:5 A={2,3,9,12,13} B= {23,9,12,13,16} C= {3,4,5,89,11}
a)AU(BUC)
b)BU(AUC)
c)CU(AUB)
d)(A intersection)U C
e)A intersection (BUC)

Q:6 A={3,9,12,15} B= {23,19,17,13,15} C= {3,4,5,89,11}
a)A-B
b)B-C
c)C-B

GO TO TOP