Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 139: 113

Answer

Plan A costs less when more than $300$ text messages are sent in a month.

Work Step by Step

Let $ x $ be the number of text messages in a month. Better deal = smaller cost. We want x for which (Cost of plan A) $ \lt $ (Cost of plan B) $ 0.08x+15 \lt 0.12x+3\qquad $ ... add $-0.08x-3$ $ 12 \lt 0.04x\qquad $ ... multiply with $25$ $300\lt x $ Plan A costs less when more than $300$ text messages are sent in a month.
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