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.

Question

Mathematics

Scarlett Bond

21 May, 17:50

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.

+5

Answers (1)

Know the Answer?

Killian Nichols · Answer 1

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.