Q4) Ex-1.4 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg

Q4) Ex-1.4 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg

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Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths

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Venn Diagrams
Most of the relationships between sets can be
represented by means of diagrams which are known
as Venn diagrams.

Operations on Sets
In earlier classes, we have learnt how to perform the operations of addition, subtraction,multiplication and division on numbers. Each one of these operations was performed on a pair of numbers to get another number

Union of sets Let A and B be any two sets. The union of A and B is the set
which consists of all the elements of A and all the elements of B, the common elements being taken only once. The symbol ‘’ is used to denote the union. Symbolically

Intersection of sets The intersection of sets A and B is the set of all elements
which are common to both A and B. The symbol ‘’ is used to denote the intersection.

EXERCISE 1.4
1. Find the union of each of the following pairs of sets :
(i) X = {1, 3, 5} Y = {1, 2, 3}
(ii) A = [ a, e, i, o, u} B = {a, b, c}
(iii) A = {x : x is a natural number and multiple of 3}
B = {x : x is a natural number less than 6}
(iv) A = {x : x is a natural number and 1 Less than x 6 }
B = {x : x is a natural number and 6 Less than x Less than 10 }
(v) A = {1, 2, 3}, B =
2. Let A = { a, b }, B = { a, b, c}. Is A B ? What is A B ?
3. If A and B are two sets such that A B, then what is A B ?
4. If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8, 9, 10 }; find
2022-23
18 M ATHEMATICS
5. Find the intersection of each pair of sets of question 4 above.
6. If A = { 3, 5, 7, 9, 11 }, B = {7, 9, 11, 13}, C = {11, 13, 15}and D = {15, 17}; find
7. If A = {x : x is a natural number }, B = {x : x is an even natural number}
C = {x : x is an odd natural number}andD = {x : x is a prime number }, find
8. Which of the following pairs of sets are disjoint
(ii) { a, e, i, o, u } and { c, d, e, f }
(iii) {x : x is an even integer } and {x : x is an odd integer}
9. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 },
C = { 2, 4, 6, 8, 10, 12, 14, 16 }, D = {5, 10, 15, 20 }; find
(i) A – B (ii) A – C (iii) A – D (iv) B – A
(v) C – A (vi) D – A (vii) B – C (viii) B – D
(ix) C – B (x) D – B (xi) C – D (xii) D – C
10. If X= { a, b, c, d } and Y = { f, b, d, g}, find
(i) X – Y (ii) Y – X
11. If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?
12. State whether each of the following statement is true or false. Justify your answer.
(i) { 2, 3, 4, 5 } and { 3, 6} are disjoint sets.
(ii) { a, e, i, o, u } and { a, b, c, d }are disjoint sets.
(iii) { 2, 6, 10, 14 } and { 3, 7, 11, 15} are disjoint sets.
(iv) { 2, 6, 10 } and { 3, 7, 11} are disjoint sets.

Summary :-
This chapter deals with some basic definitions and operations involving sets. These
are summarised below:
A set is a well-defined collection of objects.
A set which does not contain any element is called empty set.
A set which consists of a definite number of elements is called finite set,
otherwise, the set is called infinite set.
Two sets A and B are said to be equal if they have exactly the same elements.
A set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R.
A power set of a set A is collection of all subsets of A. It is denoted by P(A).
The union of two sets A and B is the set of all those elements which are either in A or in B.
The intersection of two sets A and B is the set of all elements which are
common. The difference of two sets A and B in this order is the set of elements
which belong to A but not to B.

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