Question

Which shows the contrapositive of the conditional statement, and if the conditional statement and the contrapositive are true or false?

If |x| ≠ 3, then x ≠ 3.


A.
If |x| = 3, then x = 3. The conditional statement and the contrapositive are both true.

B.
If x = 3, then |x| = 3. The conditional statement and the contrapositive are both true.

C.
If x = 3, then |x| = 3. The conditional statement is false and the contrapositive is true.

D.
If x ≠ 3, then |x| ≠ 3. The conditional statement and the contrapositive are both false.