doubt #discrete mathematics

Question

Let p: He is intelligent, q: He is tall. Write the following in symbolic form:
He is neither tall nor intelligent.
Is the answer:
a) ~q v ~p
b) ~q ^ ~p

Answer 1

Given He is neither tall nor intelligent means the person involved lacks both qualities tall and intelligent

So  our answer becomes ~q ^ ~p

First option ~q v ~p means He is not tall or not intelligent. So this is true if he lacks either quality.

Answer 2

Option A

He is intelligent and tall

P ^ Q

but He is neither tall nor intelligent. so

(P ^ Q)' according to de-morgan's law

P' V Q'