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: 35


$3x^{2}+2x\gt1$ $3x^2+2x-1\gt0$ $(3x-1)(x+1)\gt0$ $x\gt\frac{1}{3}$ and $-1\gt x$

Work Step by Step

Step 1: Subtract 1 from both sides of the inequality Step 2: Factorize quadratic inequality (trinomial) Step 3: The inequality function is greater than $0$ for $x\gt\frac{1}{3}$ and $-1\gt x$
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