Question

Identify the finite and infinite sets and find the cardinal numbers of the finite sets$.$

$E=\{x:x<1$and $x\in N\}$

Answer 1

The given set is $E=\{x:x<1$and $x\in N\}$

In the given set there are natural number less than $1$

As we know that first natural number is $1$, therefore in the given set there does not exist any element$.$

It is an empty set$.$ Which is a finite set$.$

The number of elements in the given set is $0$

$n\left(E\right)=0$

Hence$,$ the given set is a finite set.