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3. We want to find S so ((A = B) A B) = S is a tautology. A B(A→ B) ^ B TT TF FT S ((A = B) ^ B) = S FF (a) Explain why S can't be A. (b) Explain why S can't be ¬A. (c) Find S that makes a tautology. (d) Explain why, in this case, the statement S isn't useful. (If you wrote out simple statements A and B, the answer to this question is obvious).

3. We want to find S so ((A = B) A B) = S is a tautology. A B(A→ B) ^ B TT TF FT S ((A = B) ^ B) = S FF (a) Explain why S can't be A. (b) Explain why S can't be ¬A. (c) Find S that makes a tautology. (d) Explain why, in this case, the statement S isn't useful. (If you wrote out simple statements A and B, the answer to this question is obvious).

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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you only have to answer part D.

3. We want to find S so ((A = B) A B) = S is a tautology. AB(A=B) ^ B TT TF FT FF S ((A = B) ^ B) = S (a) Explain why S can't be A. (b) Explain why S can't be ¬A. (c) Find S that makes a tautology. (d) Explain why, in this case, the statement S isn't useful. (If you wrote out simple statements A and B, the answer to this question is obvious).
Transcribed Image Text:3. We want to find S so ((A = B) A B) = S is a tautology. AB(A=B) ^ B TT TF FT FF S ((A = B) ^ B) = S (a) Explain why S can't be A. (b) Explain why S can't be ¬A. (c) Find S that makes a tautology. (d) Explain why, in this case, the statement S isn't useful. (If you wrote out simple statements A and B, the answer to this question is obvious).
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