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Q: 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?
A: Answer for the first part of the question is, it can have none, one, or infinitely many. Here's a system with no solutions: x 5. Here's a system with one solution: x =3. [ ( = mean "less than or equal" and "greater than or equal") And here's a system with infinitely many solutions: x = or = 1, intersecting on x + y = 1), or overlap on a two-dimensional region. ]
piash|Points 1974|
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Asked 6/11/2012 7:01:28 PM
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