Answer
See the answer below.
Work Step by Step
First, the converse is
If $x + y \gt 8$ then $x \gt 4$ and $y \gt 4$.
The counterexample is $x=1$ and $y=9$. Then, we have:
$1+9\gt 8$ and $1\lt 4$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Appendix A - The Language of Mathematics - Exercises - Page A6: 19
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