Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.6 Solve Inequalities - 1.6 Exercises - Problem Solving - Page 47: 58c


See below.

Work Step by Step

Since $1$ mile equals $1.61$ kilometers we can get the appropriate inequalities, by multiplying the speeds by $1.61$. Hence here the legal speeds (if $x$ is the speed in kph) are: $1.61\cdot45\leq x\leq1.61\cdot70\\72.45\leq x\leq112.7$. Hence here the illegal speeds (if $x$ is the speed in kph) are: $0\cdot1.61\leq x\lt1.61\cdot45 \cup x\gt1.61\cdot70\\0\leq x\lt72.45 \cup x\gt112.7$.
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