Question

State if the following set is a finite set or an infinite set:

{x : x = 3n – 2, n ∈ W, n ≤ 8}

Answer 1

{x : x = 3n – 2, n ∈ W, n ≤ 8}

Substituting the value of n = (0, 1, 2, 3, 4, 5, 6, 7 and 8) we get

= {-2, 1, 4, 7, 10, 13, 16, 19, 22}

It is finite set.