Question

If p ↔ q is true, which compound statement has the same truth value?

p → q is false and q → p is true.
p → q is false and q → p is false.
p → q is true and q → p is false.
p → q is true and q → p is true.

Answer 1

p ↔ q is equivalent to (p → q) ∧ (q → p). So it is true exactly when both implications are true.

Therefore the matching compound statement is:
"p → q is true and q → p is true."