Question

The subsets of the real numbers can be represented in a Venn diagram as shown. To which subset of real numbers does −2π belong? A) Integers B) Whole Numbers C) Rational Numbers D) Irrational Numbers

Answer 1

the answer is D

Explanation:

i took the test

Answer 2

D

Explanation:

Whole numbers are the basic counting numbers:
`0,\ 1,\ 2,\ 3,\ 4, \....`

Integers are whole numbers and negative numbers:
`...,\ -2,\ -1,\ 0,\ 1,\ 2,\ ...`

Rational numbers are all fractions
`(m)/(n),` where m is an integer and n is a natural number.

Irrational numbers are all real numbers that are not rational.

Number
`\pi` is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.

The product of integer number -2 by irrational number
`\pi` is irrational number
`-2\pi`

Correct option - option D