Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.8 - Other Types of Inequalities - 1.8 Exercises - Page 147: 40

Answer

All real numbers solve the inequality apart from $x=5$.

Work Step by Step

$x^2-8x+16=(x-5)^2\gt0$ but we know that $a^2\geq0$ for all $a$, so the only case which is not a solution is when $x-5=0\\x=5$. Thus all real numbers solve the inequality apart from $x=5$.
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