Question

Which sets of numbers could be represented by A and B in the following Venn diagram?

Answer 1

By Definition

Whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, …

it sets can be represented as

`\lbrack0,\infty)`

An Integer is a whole-valued positive or negative number or 0. The set of integers is represented as

`(-\infty,\infty)`

hence integers contain whole numbers

Rational numbers are a set of numbers that can be written as a fraction. all integers can be written as a fraction.

Hence we conclude that

`\text{Rational numbers }\subset integers\text{ }\subset whole\text{ numbers }`

Hence we have the diagram as

Therefore the right option is B