Question

(a) use the names of the sets to label the regions of the venn diagram. names of the sets whole numbers rational numbers integers

Explanation:

Step1: Recall set - relationships

Whole numbers are non - negative integers (0, 1, 2, 3, ...). Integers include positive and negative whole numbers and zero (-3, - 2, -1, 0, 1, 2, 3, ...). Rational numbers are numbers that can be written as a fraction $\frac{a}{b}$ where $a,b\in\mathbb{Z}$ and $b
eq0$. Whole numbers are a subset of integers, and integers are a subset of rational numbers.

Step2: Label the innermost circle

The innermost circle is labeled "Whole numbers" since it is the most restrictive set among the three.

Step3: Label the middle circle

The middle - sized circle that contains the whole - numbers circle is labeled "Integers" as integers contain whole numbers and negative whole numbers.

Step4: Label the outermost circle

The outermost circle is labeled "Rational numbers" as it contains all integers and more (fractions of integers).

Answer:

The innermost circle: Whole numbers; The middle circle: Integers; The outermost circle: Rational numbers.