Which of the following statements is always true?

A. Some whole numbers are not rational numbers.
B. All integers are whole numbers.
C. All rational numbers are integers.
D. All whole numbers are integers.



Answer :

Final answer:

Integers are whole numbers, but not all rational numbers are integers. Additionally, some whole numbers are not rational numbers.


Explanation:

All integers are whole numbers: Integers include positive whole numbers, zero, and negative whole numbers. This means that every integer is also a whole number. For example, -3, 0, and 5 are all integers and whole numbers.

Not all rational numbers are integers: Rational numbers are ratios of integers, like 2/1 or 3/4. While integers are included in rational numbers, not all rational numbers are integers. For instance, 3/2 is a rational number but not an integer.

Some whole numbers are not rational numbers: Whole numbers like 2, 5, and 10 are not necessarily rational numbers because they are not expressed as ratios of integers. Thus, not all whole numbers are considered rational numbers.


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