Question 44 Answer and Explanation _ACT December 2005 Form 63C Math Section

44. Jim makes the statement ”If you have visited the White House, then you have been to Washington, D.C.” Which of the following statements is logically equivalent to Jim's statement?

F. You have visited the White House, or you have been to Washington, D.C.

G. You have visited the White House, and you have been to Washington, D.C.

H. If you have been to Washington, D.C., then you have visited the White House.

J. If you have not visited the White House, then you have not been to Washington, D.C.

K. If you have not been to Washington, D.C., then you have not visited the White House.

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

If the original proposition is true, then the inverse of this proposition is true.