Question

Write the contrapositive of the conditional statement and then determine if the conditional statement and the contrapositive are true or false.



If 6x ≠ 24, then x ≠ 4.









A.

If x = 4, then 6x = 24. The conditional statement and the contrapositive are both true.








B.

If x = 4, then 6x = 24. The conditional statement is false, and the contrapositive is true.








C.

If 6x = 24, then x = 4. The conditional statement and the contrapositive are both true.

Answer 1

D.

If x ≠ 4, then 6x ≠ 24. The conditional statement and the contrapositive are both false.

Answer 2

@Muzzack

Answer 3

In logic, contraposition is a law, which says that a conditional statement is logically equivalent to its contrapositive.

Answer 4

I would say B :)