Question
Download Solution PDFWhich of the following is not a tautology?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFOption (i)
|
P |
Q |
¬ P |
P v ¬p |
|
T |
T |
F |
T |
|
T |
F |
F |
T |
|
F |
T |
T |
T |
|
F |
F |
T |
T |
Option (ii)
|
P |
Q |
P ⋀ Q |
P ⋀ Q ⇒ P |
|
T |
T |
T |
T |
|
T |
F |
F |
T |
|
F |
T |
F |
T |
|
F |
F |
F |
T |
Option (iii)
|
P |
Q |
P ⇒ Q |
(P ⇒ Q) ⋁ P |
|
T |
T |
T |
T |
|
T |
F |
F |
T |
|
F |
T |
T |
T |
|
F |
F |
T |
T |
Option (iv)
|
P |
Q |
P V Q |
(P ⋁ Q) ⇒ P |
|
T |
T |
T |
T |
|
T |
F |
T |
T |
|
F |
T |
T |
F |
|
F |
F |
F |
T |
Therefore it is not a tautology Option 4 is the answer
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