Question

Assuming p: She is beautiful
q: she is clever
write the verbal form of ~p^~q​

Answer 1

Answer:

1) She is beautiful and clever.

2) She is beautiful as well as clever.

3) She is not only beautiful but also clever.

Answer 2

The verbal form of ~p^~q​ is "If she is not beautiful then she is not clever".

Step-by-step explanation:

Given:

• p : she is beautiful
• q: she is clever

To be found: The verbal form of $\neg p \wedge \neg q$.

Formula used : $p\Longleftrightarrow q= p \wedge q$

Solution:

We have the statement p as she is beautiful and q as she is clever.

Now using the formula if $p\Longleftrightarrow q= p \wedge q$ then we can also write,

$\neg p\Longleftrightarrow \neg q= \neg p \wedge \neg q$.

Also, we will have, $\neg p=$ she is not beautiful and $\neg q=$ she is not clever.

And, $p\Longleftrightarrow q$ is written as "If p then q".

Then, $\neg p\Longleftrightarrow \neg q$ will be written as "If not p then not q".

So, our verbal expression for $\neg p \wedge \neg q$ is "If she is not beautiful then she is not clever".