Identify the finite and infinite sets and find the cardinal numbers of the finite sets $.$
$A = {x : x > 4$ and $x \in N}$

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Solution

The set $-$ builder form of a set is $A = {x : x > 4$ and $x \in N}$
In the given set there are natural number greater than $4$
$A = {5, 6, 7, 8, . . . . . . . . . .}$
In this set there are infinite number of elements.
Hence $,$ the given set is a infinite set.

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