Question

p = A square is a rectangle.
q = The diagonals of a square are perpendicular bisectors of each other.

Which symbolic representation demonstrates the following statement?

“A square is not a rectangle, and the diagonals of a square are not perpendicular bisectors of each other.”

Answer 1

what do you mean by "symbolic representation"?

Answer 2

~p ∧ ~q
~p ∨ ~q
~p ∧ q
~p ∨ q

Answer 3

~p ∧ ~q

Answer 4

\[\neg\; P \wedge \neg \;Q\]

Answer 5

p = A square is a rectangle.
q = The diagonals of a square are perpendicular bisectors of each other

So since we want to say that p is NOT a rectangle, we need the opposite of what p is saying. In simpler term, we need NOT p. By using ~ (the "not" symbol) on p we can get:
~p = A square is not a rectangle

Same thing with q. What we need is the opposite of what q is saying, so we add ~ to q, to make:
~q = The diagonals of a square are not perpendicular bisectors of each other

Now the last thing we need is to know whether to use "v" (the OR symbol) or "^" (the AND symbol). Thankfully, if we look at the question we can see that they use the word "and".

So the answer becomes:
~p ^ ~q