State which of the following sets are finite and which are infinite.
$\{x : x i s a m u l t i p l e o f 2 l e s s t h a n 48\}$

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Solution

A set that contains countable number of different members is called a finite set and a set which contains unlimited or uncountable number of different members is called an infinite set.
Given set:
$\{x : x i s a m u l t i p l e o f 2 l e s s t h a n 48\}$
The given set is a set of multiple of $2$ less than $48$ which can be listed easily.
The first number will start from $2$ and it will end on $48$ which is countable members.
Hence, the set $\{x : x i s a m u l t i p l e o f 2 l e s s t h a n 48\}$ is finite set.

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