Answer
$a=-2,b=1$
Work Step by Step
A counterexample is $a=-2,b=1$, where $a\lt b$, but $a^2=4\gt b^2=1$
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Appendix - Mathematical Induction and Other Forms of Proofs - Exercises - Page A6: 23
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