Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.4 Linear Inequalities in One Variable - Exercise Set 6.4 - Page 384: 78


\[\left\{ x|0\le x\le 5 \right\}\]

Work Step by Step

From the given graph, it is clearly evident that for the first five years of relationship , Passion is greater than or equal to Intimacy after which Passion is less than Intimacy. Let x represent number of years. Then the number the inequality that would satisfy the provided condition would be, \[0\le x\le 5\] This can be represented in set builder form as: \[\left\{ x|0\le x\le 5 \right\}\] Number of years that satisfy the desired condition in set builder form is \[\left\{ x|0\le x\le 5 \right\}\]
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