Question

establish the relation among the sets of real numbers,rational,irrational,integers,whole numbers and natural number using venn diagrams

Answer 1

Let's define the numbers first,

# Real number-

a real number is a value of a continuous quantity that can represent a distance along a line.

It includes both rational and irrational numbers.

# Rational number-

A rational number is any real number that can be expressed exactly as a fraction whose numerator is an integer and whose denominator is a non-zero integer.

# Irrational number-

The irrational numbers are all the real numbers which are not rational numbers.

# Integers-

Integers consists of zero, the positive natural numbers, also called whole numbers or counting numbers, and their additive inverses.

# Whole numbers-

Whole numbers are positive numbers, including zero, without any decimal or fractional parts.

# Natural numbers-

Natural numbers are whole nunbers excluding zero.

Venn diagram is attached together...

Answer 2

Real numbers- rational number - integers- whole numbers- natural numbers