The true statement about the relationships between the number sets is:
Whole numbers include all natural numbers and 0.
Here's a brief explanation of why the other statements are false:
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Not all natural numbers are real numbers. - This statement is false because all natural numbers are indeed real numbers.
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All rational numbers are also integers. - This is false. While all integers are rational numbers, not all rational numbers are integers (for example, 1/2 is a rational number but not an integer).
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Some irrational numbers are also integers. - This is false because irrational numbers cannot be integers (irrational numbers cannot be expressed as a fraction of two integers).
Therefore, the correct statement among the options is the one about whole numbers.