Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.11 - Solving Equations and Inequalities Graphically - 1.11 Exercises - Page 121: 4

Answer

(a). $x= 1, 4$ (b). $(1, 4)$

Work Step by Step

(a). The solutions of the given equation are the values of $x$ for which $y$ is equal to 4. Therefore, the solutions are the $(y=4)$-intercepts of the graph. Intercepts of the graph with $(y=4)$ are at $x=1$ and $x=4$ Therefore $x=1$ and $x=4$ are the required solutions. (b). The solutions of the given inequality are the values of $x$ for which $y$ is more than $4$. Therefore, the solutions are the values of $x$ for which the graph lie $above$ the $y=4$ line. The given graph lies above $y=4$ line, between $x=1$ and $x=4 $ excluding $1$ and $4$. Therefore required solutions will be open interval $(1, 4)$.
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