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List the members of these sets.a) {x | x is a real number

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 1E Chapter 2.1

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 1E

List the members of these sets.

a) {x | x is a real number such that \(x^2=1\)}

b) {x | x is a positive integer less than 12}

c) {x | x is the square of an integer and x<100}

d) {x | x is an integer such that \(x^2=2\)}

Step-by-Step Solution:

Step 1 of 4

In the given problem  we have to list the members of these sets.

a) {x | x is a real number such that }

Real number includes all types of numbers like rational , fractions , whole numbers etc.

For  

This is only possible by {-1,1}

Put x = -1

Then   

Similarly put = 1

Then

       

Therefore the set of  x will be {-1,1}

Step 2 of 4

Chapter 2.1, Problem 1E is Solved
Step 3 of 4

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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List the members of these sets.a) {x | x is a real number