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Question
Given the universal set = {x : x ∈ N and x < 20}, find:
B = {y : y = 2n + 3, n ∈ N}
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}
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