Concept explainers
(a)
To list: the natural numbers from the given set.
(a)
Answer to Problem 6E
The natural numbers are
Explanation of Solution
Given information:
A set is given as
Calculation:
Natural numbers are all whole numbers and positive numbers excluding zero.
Consider the given set.
Now,
Here, the natural numbers are
(b)
To list: the integers from the given set.
(b)
Answer to Problem 6E
The integers are
Explanation of Solution
Given information:
A set is given as
Calculation:
Integers are all positive and negative whole numbers including zero.
Consider the given set.
Now,
Here, the integers are
(c)
To list: the rational numbers from the given set.
(c)
Answer to Problem 6E
The rational numbers are
Explanation of Solution
Given information:
A set is given as
Calculation:
Rational numbers are all positive and negative whole numbers, fraction, repeating and recurring decimal expression including zero.
Consider the given set.
Here, the rational numbers are
(d)
To list: the irrational numbers from the given set.
(d)
Answer to Problem 6E
The irrational numbers is
Explanation of Solution
Given information:
A set is given as
Calculation:
Irrational numbers are all real numbers except the rational number.
Rational numbers are all positive and negative whole numbers, fraction, repeating and recurring decimal expression including zero.
Consider the given set.
Here, the irrational numberis
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning