Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.5 - Systems of Inequalities - Exercise Set - Page 865: 94


A solution of a system of linear inequalities is the coordinates or points that satisfy the system of linear inequalities.

Work Step by Step

We know that a solution is a coordinate or an ordered pair that must satisfy all the linear inequalities of a system. Let us consider a system of inequalities as given below: $\begin{align} & x\ge 0 \\ & y\ge 0 \\ \end{align}$ The solution of this system of inequalities that satisfies both inequalities will be in the first quadrant of the coordinate plane because it contains all positive values of the x and y axes. Thus, a solution of a system of inequalities contains the coordinates that must satisfy all the inequalities.
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