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 574: 94

Answer

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Work Step by Step

A system of linear inequalities is a collection of linear inequalities that need to be satisfied SIMULTANEOUSLY. For example, in two variables, each inequality of the system may have the form $Ax+By > C,$ $Ax+By \geq C,$ $Ax+By < C$, or $Ax+By \leq C$. A SOLUTION to the system is an ordered pair (x,y), such that the coordinates x and y satisfy ALL the inequalities of the system. In three variables, each inequality of the system may have the form $Ax+By+Cz > D,$ $Ax+By+Cz \geq D,$ $Ax+By+Cz < D$, or $Ax+By+Cz \leq D$ A SOLUTION to the system is an ordered triplet (x,y, z), such that the coordinates x, y and z satisfy ALL the inequalities of the system. And so on.
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