Question
Which statement is true about the relationships between the number sets?
(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.
(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.
Answers
GPT-4o mini
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).
**(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).