The true statement about the relationships between the number sets is:
All integers are also rational numbers.
Here's a quick breakdown of the other statements:
-
Whole numbers include all positive and negative integers. (False: Whole numbers include all non-negative integers (0, 1, 2, ...), but not negative integers.)
-
Not all natural numbers are real numbers. (False: All natural numbers are real numbers.)
-
Some irrational numbers are also integers. (False: Irrational numbers cannot be integers as integers are whole numbers without decimal or fractional parts, and irrational numbers cannot be expressed as a fraction.)
So the only correct statement is that all integers are rational numbers.