Which disjunctive proposition is equivalent to this hypothetical proposition? If and only if p, then q.

A) p or q
B) p or not q
C) not p or not q
D) not p or q
E) ( p or not q) and (not p or q)

The correct equivalent disjunctive proposition to "If and only if p, then q" is "(p or not q) and (not p or q)." This is because an "if and only if" statement is true only if both statements have the same truth value, which is captured by the combination of these two disjunctive propositions.