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Mathematical Reasoning
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The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to
A
$s \wedge \sim r$
B
$s \wedge \left( {r \wedge \sim s} \right)$
C
$s \vee \left( {r \vee \sim s} \right)$
D
$s \wedge r$
Solution
$ \sim ( \sim s \vee ( \sim r \wedge s))$
$ \equiv \quad s \wedge \sim ( \sim r \wedge s)$
$ \equiv \quad {\rm{s}} \wedge ({\rm{r}} \vee \sim {\rm{s}})$
$ \equiv (s \wedge r) \vee (s \wedge \sim s)$
$ \equiv \quad s \wedge r$
Standard 11
Mathematics
