
Concept explainers
Consider
(a) natural numbers
(b) whole numbers
(c) integers
(d) rational numbers
(e) irrational numbers
(f) real numbers
(a)

Answer to Problem 1T
Solution:
The only natural number in the given set is
Explanation of Solution
Given:
The set of numbers is
Explanation:
Consider the set of numbers
The set
Hence, the only natural number in the given set is
(b)

Answer to Problem 1T
Solution:
The elements of the set that are whole numbers are 0 and
Explanation of Solution
Given:
The set of numbers is
Explanation:
Consider the set of numbers
The whole numbers consist of the set of natural number and 0. The set
Hence, the elements of the set that are whole numbers are 0 and
(c)

Answer to Problem 1T
Solution:
The integers in the given set are
Explanation of Solution
Given:
The set of numbers is
Explanation:
Consider the set of numbers
The whole numbers, their negative and zeros make up the set of integers. The set
Hence the integers in the given set are
(d)

Answer to Problem 1T
Solution:
The rational number in the given set are
Explanation of Solution
Given:
The set of numbers is
Explanation:
Consider the set of numbers
All the numbers that can be written as the quotient of two integers are rational numbers. The rational numbers are
Hence the rational number in the given set are
(e)

Answer to Problem 1T
Solution:
The elements of the set that are called irrational numbers are
Explanation of Solution
Given:
The set of numbers is
Explanation:
Consider the set of numbers
The number which are not rational are called irrational numbers. In other words, numbers which cannot be written as a quotient of two integers are called irrational numbers.
Hence the elements of the set that are called irrational numbers are
(f)

Answer to Problem 1T
Solution:
All the numbers in the set which is
Explanation of Solution
Given:
The set of numbers is
Explanation:
Consider the set of numbers
The union of the sets of rational and irrational numbers are called real numbers.
Hence all the numbers in the set which is
Want to see more full solutions like this?
Chapter 6 Solutions
Mathematical Ideas (13th Edition) - Standalone book
- Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?arrow_forwardFind the indefinite integral. Check Answer: In(5x) dx xarrow_forwardHow to solve 2542000/64132 without a calculator?arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell




