The true statement about the relationships between the number sets is:
Whole numbers include all natural numbers and 0.
Here's a brief overview of the other statements:
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Some irrational numbers are also natural numbers: This is false because irrational numbers cannot be natural numbers, as natural numbers are whole numbers that are not fractions or decimals.
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Not all natural numbers are real numbers: This is false because all natural numbers are indeed considered real numbers.
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Integers are also irrational numbers: This is false because integers (which include positive whole numbers, negative whole numbers, and zero) are rational numbers, not irrational.
Thus, the correct statement is that whole numbers include all natural numbers and 0.