State whether following set is finite or infinite.
$C = {. . . . . . ., - 3, - 2, - 1, 0, 1, 2, 3, . . . . . . . . . .}$

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Solution

Identifying the type of set:
We have,
$C = {. . . . . . ., - 3, - 2, - 1, 0, 1, 2, 3, . . . . . . . . . .}$
Here, set $C$ is a set of integers that contains an uncountable number of elements, and a set having an uncountable number of elements is called an infinite set.
Therefore, it is an infinite set.

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