Problem

See Example. List all numbers from the set that are(a) natural numbers(b) whole numbers(c)...

See Example. List all numbers from the set that are

(a) natural numbers


(b) whole numbers


(c) integers


(d) rational numbers


(e) irrational numbers


(f) real numbers.

EXAMPLE Determining Whether a Number Belongs to a Set

List the numbers in the following set that belong to each set of numbers.

(a) Natural numbers:      5


(b) Whole numbers:      0 and 5

The whole numbers consist of the natural (counting) numbers and 0.


(c) Integers:      −5, 0, and 5


(d) Rational numbers:      

Each of these numbers can be written as the quotient of two integers.


(e) Irrational numbers:      


(f) Real numbers:      All the numbers in the set are real numbers.

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