Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 2 - Reasoning and Proof - 2-2 Conditional Statements - Practice and Problem-Solving Exercises - Page 94: 33


Converse: If |x| = 6, then x = -6. Counter Example: x = 6

Work Step by Step

To find the converse of a statement, you must switch the hypothesis and the conclusion, without changing the If-Then format. In this case, the statement is: If x = -6, then |x| = 6 Therefore, the converse is: If |x| = 6, then x = -6 However, if x=6, the absolute value of x is 6. Thus, if the absolute value of x is 6, it does not mean that $x=-6$, making the converse false.
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