Q: How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?

A: 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 < 3 and x < 2. In order to satisfy both inequalities, a number must be in both solution sets. ]

Expert answered|bhebhekoh|Points 60|

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Asked 10/25/2012 10:34:46 PM

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