1. In this activity, you want to find a statement S so that ((AVB)^¬A) → S is a tautology. (a) Complete the column (A V B) ¬A in the table. AB(AV B) ¬A TT T|F S ((A V B) ^ ¬A) = S FT FF (b) In order for (A V B) ^ ¬A= S to be a tautology, it must always be true. What must the truth values of S be for this to happen? (Include all possibilities)
1. In this activity, you want to find a statement S so that ((AVB)^¬A) → S is a tautology. (a) Complete the column (A V B) ¬A in the table. AB(AV B) ¬A TT T|F S ((A V B) ^ ¬A) = S FT FF (b) In order for (A V B) ^ ¬A= S to be a tautology, it must always be true. What must the truth values of S be for this to happen? (Include all possibilities)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
solve a and b
![1. In this activity, you want to find a statement S so that ((AVB)A¬A) =
S is a tautology.
(a) Complete the column (A V B) A ¬A in the table.
((AV B) A¬A) =→ S
А В (AV B) л -А
TT
TF
FT
F F
(b) In order for (AV B) A¬A= S to be a tautology, it must always
be true. What must the truth values of S be for this to happen?
(Include all possibilities)
(c) Write down two simple statements A and B. (They should be
statements whose truth value can be easily determined)
(d) Use your simple statements give an example, in ordinary language,
of (AV B) A¬A.
(e) Using your ordinary language statement of (A V B) ^ ¬A, what
might you conclude?
(f) What does this suggest S should be?
(g) Verify that your choice of S makes ((AVB)A¬A) = Sa tautology.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6e90f90-ef51-4cdc-8331-0aa7a96a54c0%2F3e97c6c6-f8b3-498d-be3d-09d78374c65f%2Flgy1mh4_processed.png&w=3840&q=75)
Transcribed Image Text:1. In this activity, you want to find a statement S so that ((AVB)A¬A) =
S is a tautology.
(a) Complete the column (A V B) A ¬A in the table.
((AV B) A¬A) =→ S
А В (AV B) л -А
TT
TF
FT
F F
(b) In order for (AV B) A¬A= S to be a tautology, it must always
be true. What must the truth values of S be for this to happen?
(Include all possibilities)
(c) Write down two simple statements A and B. (They should be
statements whose truth value can be easily determined)
(d) Use your simple statements give an example, in ordinary language,
of (AV B) A¬A.
(e) Using your ordinary language statement of (A V B) ^ ¬A, what
might you conclude?
(f) What does this suggest S should be?
(g) Verify that your choice of S makes ((AVB)A¬A) = Sa tautology.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)