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

Responses

Whole numbers include all natural numbers and 0.

Some irrational numbers are also integers.

Not all natural numbers are real numbers.

All rational 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 why the other statements are false:

  • Some irrational numbers are also integers. (False: Irrational numbers cannot be integers; integers are whole numbers without fractions or decimals, while irrational numbers cannot be expressed as a fraction.)

  • Not all natural numbers are real numbers. (False: All natural numbers are indeed real numbers.)

  • All rational numbers are also integers. (False: Rational numbers include fractions and decimals that can be expressed as a fraction, whereas integers are whole numbers.)

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