Question

For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional.
If x = 3, then x2 = 9.

A. If x2 = 9, then x = 3.
x2 = 9 if and only if x = 3.

B. If x2 = 9, then x = 3.
x=3 if and only if x2 = 9.

C. If x2 = 3, then x = 9.

D. If x2 = 9, then x = 3.

Answer 1

Answer:

D. If x2 = 9, then x = 3.

Explanation:

The converse reverses the order of phrases in "if p then q" so it becomes "if q then p". Here, that makes the converse ...

... If x^2 = 9, then x = 3.

The converse is not true (x may be -3), so we're finished with the problem. The appropriate choice is the one indicated above.