Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Appendix A - The Language of Mathematics - Exercises - Page A6: 20

Answer

False.

Work Step by Step

The converse is: If $x^2 \gt 16$, then $ x \gt 4$ This is false. For example, take $x=-5$. Then, we have $x^2=25\gt 16$ and at the same time $x\lt4$.
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