The natural numbers are a subset of all of the following sets except the

irrational numbers

real numbers

integers numbers

whole numbers

The answer is the first option: irrational numbers.

Natural numbers are not a subset of irrational numbers, becasue irrational numbers include only those numbers that have infinite non-periodic decimals. For example, π, √2. √3, √5, ...

About the other options, note that 1) real numbers include natural numbers, integers numbers, rational numbers and irrational numbers, so natural numbers are a subset of the real numbers, 2) integer numbers include natural numbers and whole numbers, 3) whole numbers include natural numbers.