Complete the truth table for the following, then use it to answer the following questions.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In the following, if you are asked to find a statement, you should write a
statement that a reasonable person could easily identify as "true" or “false."
For example: The solution to x? – 5x – 27 = 0 is x = 3 is not a reasonable
statement, while Birds have four wings" is, because most people could not
easily determine whether the first is true or false, but could quickly determine
the truth value of the second statement.
1. Complete the truth table for the following, then use it to answer the
following questions.
A B¬A-B | AVB-(AV B) |¬AV¬B
TT
T F
FT
FF
(a) If possible find statements A, B where ¬(A V B) is true but ¬A v
¬B is false. If not possible, explain why not.
(b) Is -(A V B) logically equivalent to (¬A) V (¬B)? Defend your
conclusion.
Transcribed Image Text:In the following, if you are asked to find a statement, you should write a statement that a reasonable person could easily identify as "true" or “false." For example: The solution to x? – 5x – 27 = 0 is x = 3 is not a reasonable statement, while Birds have four wings" is, because most people could not easily determine whether the first is true or false, but could quickly determine the truth value of the second statement. 1. Complete the truth table for the following, then use it to answer the following questions. A B¬A-B | AVB-(AV B) |¬AV¬B TT T F FT FF (a) If possible find statements A, B where ¬(A V B) is true but ¬A v ¬B is false. If not possible, explain why not. (b) Is -(A V B) logically equivalent to (¬A) V (¬B)? Defend your conclusion.
Expert Solution
Step 1

In this question, we have to complete truth table and by using the table to answer the part (a) and part (b)

we use

T and T=T

T and F=F

F and T=F

F and F=F

and 

T or T=T

T or F=T

F or T=T

F or F

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