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Mathematical Reasoning
medium
The proposition $p \Rightarrow \;\sim (p\; \wedge \sim \,q)$ is
A
Contradiction
B
A tautology
C
Either $(a)$ or $(b)$
D
Neither $(a)$ nor $(b)$
Solution
(d)
|
$p$ |
$q$ |
$\sim \,q$ |
$p$ ⋀ $\sim \,q$ |
$\sim (p$ ⋀ $\sim \,q)$ |
$p$ $\Rightarrow$ $\sim \,(p$ ⋀ $ \sim \, q) $ |
|
$T$ |
$T$ |
$F$ |
$F$ |
$T$ |
$T$ |
|
$T$ |
$F$ |
$T$ |
$T$ |
$F$ |
$F$ |
|
$F$ |
$T$ |
$F$ |
$F$ |
$T$ |
$T$ |
|
$F$ |
$F$ |
$T$ |
$F$ |
$T$ |
$T$ |
Result is neither tautology nor contradiction.
Standard 11
Mathematics
