State whether the following set is finite or infinite.
$D = {x : x \in W, x < 5}$

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Solution

Identify the number of terms in set $D$
Given that $D = {x : x \in W, x < 5}$ , where $x \in W$ and whole numbers starts from $0, 1, 2, 3, 4, . . . . . . . . . .$
Now $x < 5$ i.e. $D = {0, 1, 2, 3, 4}$
Number of element in set $D$ is $5$ which is countable.
Therefore, it is a finite set.

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