Q in description

Question

If a conditional and its converse are always true, then the statement is a

1. converse.
2. conditional.
3. biconditional.
4. counterexample.

Answer 1

If a conditional is true, then if P then Q is true

and if its converse is true, then if Q then P is true

it's a biconditional P if and only if Q

the arrow runs both ways

set up a truth table if you don't see their equivalence

as their truth values will be the same

(if P then Q) ^ (if Q then P) = P if and only if Q