Question

Which statement is true about subsets of the real numbers?
A.The rational numbers are a subset of the irrational numbers
B.the whole numbers are a subset of the integers
C.the integers are a subset of the irrational numbers
D.the whole numbers are a subset of the natural numbers

Answer 1

The correct statement is:

B. the whole numbers are a subset of the integers.

Here's a brief explanation of each choice:

A. The rational numbers are not a subset of the irrational numbers; rather, they are disjoint sets (rational numbers can be expressed as fractions, while irrational numbers cannot).

B. Whole numbers (0, 1, 2, 3, ...) are indeed a subset of the integers (..., -2, -1, 0, 1, 2, ...).

C. The integers are not a subset of the irrational numbers; integers are rational numbers.

D. Whole numbers are not a subset of the natural numbers. Whole numbers include 0 and natural numbers generally start from 1 (1, 2, 3, ...).

Thus, the only true statement is B.