Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.11 - Solving Equations and Inequalities Graphically - 1.11 Exercises - Page 122: 42

Answer

$$x∈(-\infty, -2) ∪ (0.5, +\infty)$$

Work Step by Step

$5x^2+3x\geq3x^2+2$ $5x^2+3x$ is represented as the Blue graph on the image above. $3x^2+2$ is represented as the Red graph. We have to locate the region where the Blue graph is above the Red graph. That is from $-\infty$ till $B$ and from $A$ to $+\infty$ $x∈(-\infty, -2) ∪ (0.5, +\infty)$
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