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p: She is bea...

Question

$p :$ She is beautiful.
$q :$ She is intelligent.
The symbolic form of "She is neither beautiful nor intelligent", is

p \land q

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(\sim p) \land q

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p \land (\sim q)

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(\sim p) \land (\sim q)

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Solution

The correct option is B $(\sim p) \land (\sim q)$
Given $p :$ "She is beautiful"
and $q :$ "She is intelligent"
Given conjugation is "She is neither beautiful nor intelligent"
This is just another way of saying "She is not beautiful and she is not intelligent"
$\sim p :$ "She is not beautiful"
and $\sim q :$ "She is not intelligent"
Thus $(\sim p) \land (\sim q)$ means "She is not beautiful and she is not intelligent" or "She is neither beautiful nor intelligent"

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