Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.8 - Other Types of Inequalities - 1.8 Exercises - Page 149: 84



Work Step by Step

The discriminant of the equation = $b^2-4ac=3^2-4(3/2)(6)=-27$ Since the discriminant is negative there are no real zeros of the equation. So, the function never crosses the x-axis. Also, since the coefficient of the first or the leading term is positive, the graph of the equation must then be above the x-axis always. So, the given inequality is satisfied by all real numbers.
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