College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.1 - Page 455: 96

Answer

$(-∞3)$U$(3,∞)$

Work Step by Step

$$(x-3)^2 \gt 0$$ $$\sqrt{(x-3)^2} \gt \sqrt{0}$$ which breaks into two possibilities: $$x - 3 \gt 0$$ $$AND$$ $$x-3 \lt 0$$ These conditions give us two intervals: $x \gt 3$ and $x \lt 3$, which can be written as {$x|(-∞3)$U$(3,∞), x$ belongs to the Realm of all Real Numbers}.
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