Question

Given the Venn diagram below, which statement must be false?

An irrational number is also a real number.
Some rational numbers are not integers.
Some natural numbers are not integers.
All whole numbers are rational numbers.

Answer 1

       This was a tricky question for me to answer, but I believe that the false statement is the 3rd option: Some natural numbers are not integers. I think that all natural numbers are integers because integers include positive AND negative numbers. All positive, whole numbers are natural numbers and integers can be positive, whole numbers. Integers cannot be fractions in their most simplified form. 

Answer 2

The statement (3) "Some natural number are not integers " is false

What is Venn diagram?

A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things

What is natural numbers?

In mathematics, the natural numbers are those numbers used for counting and ordering

What is whole numbers?

In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, …, and so on. 17, 99, 267, 8107, and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards

What is Integers?

An integer is colloquially defined as a number that can be written without a fractional component

What is rational numbers?

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q

What is irrational numbers?

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

What is real numbers?

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

Here,

The third statement "Some natural numbers are not integers" is false.

Because all the natural numbers are integers

Remaining statements are true

Hence, the third statement "Some natural numbers are not integers" is false.

Learn more about Venn diagram, Natural numbers, Whole number, Integers, Rational numbers, Irrational numbers and real numbers here

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