Which statement is true about the relationships between the number sets?

Question

(A. All irrational numbers are also integers.
(B. Every number is a whole number.
(C. Only positive numbers make up the set of integers.
(D. Whole number include all natural numbers and 0.

Answer 1

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

(D) Whole numbers include all natural numbers and 0.

Here's a brief explanation for each option:

(A) False: Irrational numbers cannot be integers, as integers are whole numbers that can be positive, negative, or zero, while irrational numbers cannot be expressed as fractions.

(B) False: Not every number is a whole number; for example, negative numbers and fractions are not whole numbers.

(C) False: The set of integers includes both positive and negative whole numbers, as well as zero.

Therefore, the correct answer is (D).