Name all sets of numbers to which each real number belongs

The set of all numbers to which each real number belongs to are natural numbers.

In addition there relationship can be explained by the basic inequalities and equalities’ sign. (>, =, <). 

These three set of symbols can discern, describe and explain the relationship between of numbers. These signs are used varying in many mathematical operations to explain and find discrepancy between value, sets of values or numbers in single and equitable category. 
Examples includes
 6 > 5; 6 is greater than 5; 5 is less than 6
 1 > -1; -1 is less than 1; 1 is greater than -1 
-2 = -2; -2 is equal to -2 

Wow. that is a really cool question.