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Which statement is true about the relationships between the number sets?(1 point)

Responses

Not all natural numbers are real numbers.
Not all natural numbers are real numbers.

All rational numbers are also integers.
All rational numbers are also integers.

Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.

Some irrational numbers are also integers.

1 answer

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 the other statements:

  1. Not all natural numbers are real numbers: This is false because all natural numbers are indeed real numbers.

  2. All rational numbers are also integers: This is false because rational numbers include fractions like 1/2 or 3/4, which are not integers.

  3. Some irrational numbers are also integers: This is false because irrational numbers cannot be expressed as fractions, which means they cannot be integers.

Thus, the only true statement is regarding whole numbers.