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

• 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.

To clarify the other statements:

  • Some irrational numbers are also integers: This is false; irrational numbers cannot be integers as integers are whole numbers without fractional or decimal parts.
  • Not all natural numbers are real numbers: This is false; in fact, all natural numbers are a subset of real numbers.
  • All rational numbers are also integers: This is false; rational numbers can be fractions (like 1/2) that are not integers.

Thus, the first statement is the only true one.