Concept explainers
NOW TRY THIS
a. Use truth tables to prove Theorem
b. Write a sentence showing the use of De Morgan’s second law in everyday language.
c.
![Check Mark](/static/check-mark.png)
(a)
To prove:
The second De Morgan’s Law for Logic using truth tables.
Answer to Problem 1NT
Solution:
So, the required answer is
T | T | F | F | T | F | F |
T | F | F | T | T | F | F |
F | T | T | F | T | F | F |
F | F | T | T | F | T | T |
Explanation of Solution
Given:
The second De Morgan’s Law for Logic
Approach:
The second De Morgan’s Law for Logic
Calculation:
Hence, the truth table is
T | T | F | F | T | F | F |
T | F | F | T | T | F | F |
F | T | T | F | T | F | F |
F | F | T | T | F | T | T |
![Check Mark](/static/check-mark.png)
(b)
To explain:
The use of De Morgan’s Second Law in everyday language.
Answer to Problem 1NT
Solution:
Let p be “I go the school” and q be “I write a letter”. De Morgan’s Second law of logic might be interpreted as “It is not the case that I go to the school or I write a letter,” has the same meaning as “I do not go the school and I do not write a letter.”
Explanation of Solution
Given:
The second De Morgan’s Law for Logic
Approach:
Let p be “I go the school” and q be “I write a letter”. De Morgan’s Second law of logic might be interpreted as “It is not the case that I go to the school or I write a letter” has the same meaning as “I do not go the school and I do not write a letter.”
Want to see more full solutions like this?
Chapter 2 Solutions
A PROBLEM SOLVING APPROACH TO MATHEMATI
- Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)