Question

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?

Answer 1

Conditional statement is a statement with a hypotesis and a conclusion:

If $\text{ \underline{ hypothesis } } p$ , then $\text{ \underline { conclusion } } q$ or mathematically $p\rightarrow q$ .

Converse statement of $p\rightarrow q$ is statement $q\rightarrow p$ .

If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse: $\neg p\rightarrow \neg q$.

Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive: $\neg q\rightarrow \neg p$.

Then,

Answer: the correct choice is D (the inverse of the original conditional statement).

Answer 2

the inverse of the original conditional statement