How do I find a compound proposition involving the propositional variables p, q, and r, that is true when p and q are true and r is false, but is false otherwise? My answer = ( p /\ q /\ ~r )

Answer 1

You are correct, nicely done!

p and q and ~r is only true when p is true, q is true, and r is false; otherwise, it is false.

Here is the truth table to prove it

p q r p and q and ~r

T T T F

T T F T

T F T F

T F F F

F T T F

F T F F

F F T F

F F F F