The quantifier n denotes "there exists exactly n,” so that

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

Problem 26E Chapter 1.SE

Discrete Mathematics and Its Applications | 7th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

4 5 0 413 Reviews
21
5
Problem 26E

The quantifier ∃n denotes "there exists exactly n,” so that  means there exist exactly n values in the domain such that P(x) is true. Determine the true value of these statements where the domain consists of all real numbers.

Step-by-Step Solution:

Step 1:

In this problem, we need to determine the true value of these given statements.

Where we are given means there exists exactly n values in the domain such that P(x) is true and the domain consists of all real numbers.

(a): 0x (x2 = -1).

According to the given condition 0x (x2 = -1) means there exists exactly zero(0) value in the domain.

Clearly x2 = -1, is only possible in the complex numbers because x = is complex value.

Which is called i(iota).

Therefore, there is no value in the real numbers which is held this condition.

Hence the statement is true.

(b): 1x()

According to the given condition 1x()  means there exists exactly one(1) value in the domain.

So, we have one value zero for the condition = 0, which is held.

Hence the statement is true.

(c): 2x...

Step 2 of 3

Chapter 1.SE, Problem 26E is Solved
Step 3 of 3

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

×
Log in to StudySoup
Get Full Access to Discrete Mathematics And Its Applications - 7th Edition - Chapter 1.se - Problem 26e

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Discrete Mathematics And Its Applications - 7th Edition - Chapter 1.se - Problem 26e
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here