Question

according to the diagram, which statement is not true?
a all integers are rational numbers.
b some integers are whole numbers.
c some rational numbers are whole numbers.
d all whole numbers are irrational numbers.

Explanation:

• Option A: The diagram shows integers are a subset of rational numbers, so all integers are rational; this is true.
• Option B: Whole numbers are a subset of integers, meaning some integers (the non-negative ones) are whole numbers; this is true.
• Option C: Whole numbers are a subset of rational numbers, so some rational numbers are whole numbers; this is true.
• Option D: Whole numbers are inside the rational numbers circle, separate from irrational numbers. Whole numbers cannot be irrational, so this statement is false.

Answer:

D. All whole numbers are irrational numbers.