Advertisements
Advertisements
Question
Given the universal set = {x : x ∈ N and x < 20}, find:
B = {y : y = 2n + 3, n ∈ N}
Advertisements
Solution
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}
∴ B = {y : y = 2n + 3, n ∈ N}
y = 2n + 3
∴ n = 1 ⇒ 2(1) + 3 = 2 + 3 = 5
∴ n = 2 ⇒ 2(2) + 3 = 4 + 3 = 7
∴ n = 3 ⇒ 2(3) + 3 = 6 + 3 = 9
∴ n = 4 ⇒ 2(4) + 3 = 8 + 3 = 11
∴ n = 5 ⇒ 2(5) + 3 = 10 + 3 = 13
∴ n = 6 ⇒ 2(6) + 3 = 12 + 3 = 15
∴ n = 7 ⇒ 2(7) + 3 = 14 + 3 = 17
∴ n = 8 ⇒ 2(8) + 3 = 16 + 3 = 19
∴ B = {5, 7, 9, 11, 13, 15, 17, 19}
APPEARS IN
RELATED QUESTIONS
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 the universal set = {x : x ∈ N and x < 20}, find:
C = {x : x is divisible by 4}
Given, universal set = {x : x ∈ N, 10 ≤ x ≤ 35}.
A = {x ∈ N : x ≤ 16} Find: A'
Given, universal set = {x : ∈ N, 10 ≤ x ≤ 35}.
B = {x : x > 29} Find: 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 = {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(Q).
