If p is true and q is false, then p ∧ ~q is true. true false

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.

true.