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 can be the universal set?
- P is the set of all residents in Pune.
- M is the set of all residents in Madhya Pradesh.
- I is the set of all residents in Indore.
- B is the set of all residents in India.
- H is the set of all residents in Maharashtra.
Which set of numbers could be the universal set for the set given below?
- P = set of integers which are multiples of 4.
- T = set of all even square numbers.
Given the universal set = {-7,-3, -1, 0, 5, 6, 8, 9}, find: A = {x : x < 2}
Given, universal set = {x : ∈ N, 10 ≤ x ≤ 35}.
B = {x : x > 29} Find: B'.
Given A = {x : x ∈ N and 3 < x ~ 6} and 8 = {x : x ∈ W and x < 4}. Find: A ∩ B.
For the universal set {4, 5, 6, 7, 8, 9, 10, 11,12,13} ; find the subset of D = {even numbers less than 10}.
Also, find a complement of D.
If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: n(A)
If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: (A – B) and n(A – B)
If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: n (B)
If P = {x : x is a factor of 12} and Q = {x: x is a factor of 16}, find : n(Q).
