Advertisements
Advertisements
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.
उत्तर
A = set of multiples of 5 = {5, 10, 15, ...};
B = set of multiples of 7 = {7, 14, 21, ...}; and
C = set of multiples of 12 = {12, 24, 36, ...}
The universal set for the sets A, B and C can be a set of natural numbers, i.e. N.
Disclaimer: The Universal set for the sets A, B and C can be set of whole numbers, integers, rational numbers of real numbers and so on.
APPEARS IN
संबंधित प्रश्न
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
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 C = {prime numbers}.
Also, find a complement of C.
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: n(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 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 : Q – P and n(Q – P).