The correct hierarchy of number sets within the real number system, from largest to smallest, is:
Irrational numbers > Rational numbers > Integers > Whole numbers > Natural numbers
Based on the options provided, the closest accurate sequence that reflects this hierarchy is:
Irrational numbers, rational numbers, integers, whole numbers, natural numbers.
However, since that specific option is not listed, the best representation of the hierarchy from your options would be:
Rational numbers > Integers > Whole numbers > Natural numbers
This aligns with the actual hierarchy and is the most accurate choice based on the given responses.