Which statement is true about the relationships between the number sets?(1 point)ResponsesNot all natural numbers are real numbers.Not all natural numbers are real numbers.Some irrational numbers are also integers.Some irrational numbers are also integers.Whole numbers include all positive and negative integers.Whole numbers include all positive and negative integers.All integers are also rational numbers.

1 answer

The true statement about the relationships between the number sets is:

All integers are also rational numbers.

To clarify the other options:

  1. Not all natural numbers are real numbers. — This is false because all natural numbers are indeed real numbers.
  2. Some irrational numbers are also integers. — This is false because irrational numbers cannot be integers (integers are whole numbers, and irrational numbers cannot be expressed as a ratio of two integers).
  3. Whole numbers include all positive and negative integers. — This is incorrect because whole numbers include only non-negative integers (0, 1, 2, ...), not negative integers.

Therefore, the only correct statement is that all integers are rational numbers.

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