The biconditional statement "p if and only if q" is equivalent to:a.p → qb.p ∧ qc.p ∨ qd.(p → q) ∧ (q → p)

To determine the equivalent statement for the biconditional "p if and only if q," we can analyze the given options:

a. p → q: This option represents the conditional statement "p implies q," but it does not capture the "if and only if" condition.

b. p ∧ q: This option represents the conjunction of p and q, but it does not capture the "if and only if" condition.

c. p ∨ q: This option represents the disjunction of p and q, but it does not capture the "if and only if" condition.

d. (p → q) ∧ (q → p): This option represents the conjunction of the conditional statements "p implies q" and "q implies p." This captures the "if and only if" condition, as it states that both p implies q and q implies p must be true.

Therefore, the correct answer is option d: (p → q) ∧ (q → p).