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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