Question

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

the original conditional statement


the converse of the original conditional statement


the contrapositive of the original conditional statement


the inverse of the original conditional statement

Answer 1

Answer:its d

Explanation:

Answer 2

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:
`\\eg p\rightarrow \\eg q`.

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

Then,

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