Conditional statement is a statement with a hypotesis and a conclusion:
If [tex] \text{ \underline{ hypothesis } } p [/tex] , then [tex] \text{ \underline { conclusion } } q [/tex] or mathematically [tex] p\rightarrow q [/tex] .
Converse statement of [tex] p\rightarrow q [/tex] is statement [tex] q\rightarrow p [/tex] .
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse: [tex] \neg p\rightarrow \neg q [/tex].
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive: [tex] \neg q\rightarrow \neg p [/tex].
Then,
Answer: the correct choice is D (the inverse of the original conditional statement).
