Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - 3.5 Inequalities Involving Quadratic Functions - 3.5 Assess Your Understanding - Page 160: 18


Real numbers.

Work Step by Step

$x^2+2x+4>0$, I complete the square: $(x+1)^2+3>0$, $(x+1)^2\geq0$, because all squares of real numbers are non-negative, hence $(x+1)^2+3\geq0+3=3\gt0$ hence the solution set is the real numbers. (also see the graph of ( $(x+1)^2+3$)
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