Answer: true
Justification
1) ∧ is the and operator
2) ~ is the symbol for negation (which is the same that making false)
3) p ∧ ~q means p and not q.
4) The and operator means that the two joined premises, this is p and ~q, have to be true for the whole statement ve true.
5) It is given that p is true and q is false, then p and ~ q is true.
Answer: true.
