Answer
Consider the given compound statement and write it in simple statements: A good socializer and a good writer.
Now, assign symbols to the simple statements. Let,
p: A good socializer
q: A good writer
Then, again consider the given statement and write it into symbolic form as shown below:
Symbolically, cannot is represented by negation symbol, both can be represented by a conjunction.
The symbolic form is written as:
\[\sim \left( p\wedge q \right)\]