Identify the finite and infinite sets and find the cardinal numbers of the finite sets $.$
$C = {x : x < 5$ and $x \in Z}$

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Solution

The set $-$ builder form of a set is $C = {x : x < 5$ and $x \in Z}$
In the given set there are integers less than $5$ .
$C = {. . . . . . . - 3, - 2, - 1, 0, 1, 2, 3, 4}$
In this set there are infinite number of elements
Hence $,$ the given set is an infinite set $.$

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