College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.5 - Page 573: 79

Answer

The person is not within the healthy weight region.

Work Step by Step

6 feet =72 inches. The person corresponds to the point (72,205). The question, restated, is: "Is (72,205) a part of the solution set?" We test whether the coordinates of (72,205) satisfy BOTH inequalities. Inequality 1: $5.3(72)-205 \geq 180\quad?$ $176.6 \geq 180\quad?$ No. There is no need to test the second inequality, since (72,205) should satisfy BOTH inequalities to be a solution. So, (72,205) is not a solution, meaning that the person is not within the healthy weight region.
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