Advertisements
Advertisements
प्रश्न
Given the universal set = {x : x ∈ N and x < 20}, find :
A = {x : x = 3p ; p ∈ N}
Advertisements
उत्तर
Universal set = {x : x ∈ N and x < 20}
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,....,19}
A = {x : x = 3p ; p ∈ N}
x = 3p
When p = 1,
x = 3 x 1
= 3
When p = 2,
x = 3 x 2
= 6
When p = 3,
x = 3 x 3
= 9
When p = 4,
x = 3 x 4
= 12
When p = 5,
x = 3 x 5
=15
When p = 6,
x = 3 x 6
= 18
∴ A = {3, 6, 9, 12, 15, 18}
APPEARS IN
संबंधित प्रश्न
Which set of numbers could be the universal set for the set given below?
- A = set of multiples of 5.
- B = set of multiples of 7.
- C = set of multiples of 12.
Let all the students of a class is an Universal set. Let set A be the students who secure 50% or more marks in Maths. Then write the complement of set A.
Given the universal set = {-7,-3, -1, 0, 5, 6, 8, 9}, find: B = {x : -4 < x < 6}
For the universal set {4, 5, 6, 7, 8, 9, 10, 11,12,13} ; find the subset of B = {odd numbers greater than 8}.
Also, find a complement of B.
If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find: A∩B
If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find: A - B
If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: A∪B and n(A∪B)
If A = {2, 4, 6, 8} and B = {3, 6, 9, 12}, find: (A ∩ B) and n(A ∩ B)
If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: (A – B) and n(A – B)
If P = {x : x is a factor of 12} and Q = {x: x is a factor of 16}, find : n(P)
