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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.

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Answers (1)
  1. 21 May, 18:52
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    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.
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