given a conditional statement p → q, which st...

# Brief Explanations: In logic, the contra - positive of a conditional statement \(p\rightarrow q\) is \(\neg q\rightarrow\neg p\), and a conditional statement and its contra - positive are logically equivalent. The first option \(\neg p\rightarrow\neg q\) is the inverse, the third option \(q\rightarrow p\) is the converse, and the fourth option \(p\rightarrow\neg q\) is neither the inverse, converse, nor contra - positive. # Answer: \(\neg q\rightarrow\neg p\) (the second option)