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

Answer:

D

Step-by-step 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 $\frac{m}{n},$ 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

Answer 2

Answer:

the answer is D

Step-by-step explanation:

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