Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.5 Inequalities - R.5 Exercises - Page R-21: 33


$x^2-4x \geq 5$ $x^2-4x-5\geq0$ $(x+1)(x-5)\geq0$ $x\leq-1$ and $x\geq5$

Work Step by Step

Step 1: Subtract 5 from both sides of the inequality Step 2: Factorize Inequality (trinomial) Step 3: The quadratic inequality is greater and equal to $0$ for $x\leq-1$ and $x\geq5$
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