Identify all sets of numbers to which 2..

The sets the number belongs is real number and an irrational number.

Step-by-step explanation:

To find : Identify all sets of numbers to which 2.17117111711117belong.

Solution :

The given number 2.17117111711117 is a real number.

As the number cannot written in p/q form where p and q are integers and q is non-zero.

The number is also non-terminating and non-repeating.

Which clearly means the given number is an irrational number.

So, The sets the number belongs is real number and an irrational number.