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(d) Using your ordinary language statement of (A → B) ^ A, what might you conclude? (e) What does this suggest S should be? (f) Verify that your choice of S makes ((A→ B)^A) = S a tautology.

(d) Using your ordinary language statement of (A → B) ^ A, what might you conclude? (e) What does this suggest S should be? (f) Verify that your choice of S makes ((A→ B)^A) = S a tautology.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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solve d, e and f. I really need this asap.

2. We want to find S so ((A = B)A A) = S is a tautology. AB(A= B) ^ A TT TF FT FF S ((A= B) A A) =→ S (a) In order for ((A= B) ^ A) = S to be a tautology, what must the truth values of S be? Include all possibilities. (b) Write down two simple statements A and B. (They should be statements whose truth value can be easily determined) (c) Use your simple statements give an example, in ordinary language, of (A = B) A A. (d) Using your ordinary language statement of (A = B) A A, what might you conclude? (e) What does this suggest S should be? (f) Verify that your choice of S makes ((A = B)AA) → Sa tautology.
Transcribed Image Text:2. We want to find S so ((A = B)A A) = S is a tautology. AB(A= B) ^ A TT TF FT FF S ((A= B) A A) =→ S (a) In order for ((A= B) ^ A) = S to be a tautology, what must the truth values of S be? Include all possibilities. (b) Write down two simple statements A and B. (They should be statements whose truth value can be easily determined) (c) Use your simple statements give an example, in ordinary language, of (A = B) A A. (d) Using your ordinary language statement of (A = B) A A, what might you conclude? (e) What does this suggest S should be? (f) Verify that your choice of S makes ((A = B)AA) → Sa tautology.
Expert Solution
Step 1

Let us take premise A: x is a number

Premise B: factors of x are 1 and x

 

 

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