Thinking Mathematically (6th Edition)

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

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.4 Linear Inequalities in Two Variables - Exercise Set 7.4 - Page 454: 48

Answer

No

Work Step by Step

Model of the healthy weight region given by the following system of linear inequalities, where x represents height, in inches, y represents weight, in pounds. \[\left\{ \begin{align} & 5.3x-y\ge 180 \\ & 4.1x-y\le 140 \\ \end{align} \right.\] A person is 68 \[\left( \left( 5\times 12 \right)+8 \right)\] inches tall weighing 135 pounds. Substitute\[x=68\] and\[y=135\], in the above system, \[\left\{ \begin{align} & 225.4\ge 180 \\ & 143.8\le 140 \\ \end{align} \right.\] Since Equation 2 in the system is false. So, the provided parameters of a person do not satisfy the system, It is not within healthy weight region. It can also be seen from the graph that its location is outside the region.
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