Explore BrainMass

Explore BrainMass

    Question about Systems of Linear Inequalities

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.

    © BrainMass Inc. brainmass.com December 24, 2021, 9:38 pm ad1c9bdddf

    Solution Preview

    Systems of linear inequalities could have multiple solutions or no solutions at all. Looking at several examples;

    y<x and y<-x

    In this case, the graph of the linear function of the inequality is simply y=x and y=-x. Because of the "and" condition, solutions of the system must be true for both linear inequality equations. When we graph this solution, we see that the solution consists of the region formed below BOTH lines, which we would shade ...

    Solution Summary

    Solution sets of systems of linear equalities may or may not exist. This solution discusses both cases with examples.