Question

$p:$ She is beautiful.
$q:$ She is intelligent.
Then $\sim p\vee \sim q$, is equivalent to

• A. She is beautiful but not intelligent.
• B. She is intelligent but not beautiful.
• C. She is neither beautiful nor intelligent.
• D. She is not beautiful or she is not intelligent.

Answer 1

The correct option is C She is neither beautiful nor intelligent.

$(\sim p)\vee (\sim q)\equiv \sim (p\wedge q)$
$\equiv$ Statement p and q are not true.
or she is neither beautiful nor intelligent.