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Question
Find the cardinal number of the following set.
P = {x : x = 3n + 2, n ∈ W and x < 15}
Solution
W = {0, 1, 2, 3, …….}
if n = 0, x = 3(0) + 2 = 2
if n = 1, x = 3(1) + 2 = 5
if n = 2, x = 3(2) + 2 = 8
if n = 3, x = 3(3) + 2 = 11
if n = 4, x = 3(4) + 2 = 14
∴ P = {2, 5, 8, 11, 14}
n(P) = 5
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