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OpenStudy (anonymous):
[11.2] Do systems of inequalities always have a solution? Explain why or why not? State an example to support your answer.
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jimthompson5910 (jim_thompson5910):
No they do not. Take the system below for example x+y > 2 x+y < 0 If we let z = x+y, we'll get z > 2 z < 0 But there is no such number that is BOTH greater than 2 AND less than zero. So there are no solutions to the system above.
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