Question

Find the contrapositive of the statement "If I live in Montana, then I own a log cabin."


13.
Find the contrapositive of the statement "If I live in Montana, then I own a log cabin."
A.

If I do not live in Montana, then I own a log cabin.

B.

If I live in Montana, then I do not own a log cabin.

C.

If I own a log cabin, then I do not live in Montana.

D.

If I do not own a log cabin, then I do not live in Montana.

Answer 1

\[p\rightarrow q\]
\[\lnot q\rightarrow p\]

Answer 2

if i do not own a log cabin, then i do not live in montana

Answer 3

thanks .

Answer 4

so i just reverse it

Answer 5

You would have to reverse the negative of BOTH statements.
p->q <=> ~q -> ~p