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anonymous
 4 years ago
When is it possible for a system of two inequalities to have no solution?
anonymous
 4 years ago
When is it possible for a system of two inequalities to have no solution?

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TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.3when it leads to a contradiction\[x+y=1\]\[x+y=2\]subtract the first from the second and you get\[0=1\]which is never true

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Those are not inequalities guys.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0But the idea is right. If the system leads you to a contradiction.

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.3thanks nodata, your english is better than mine today I guess :P

precal
 4 years ago
Best ResponseYou've already chosen the best response.0Inequalities are solution regions. You could have two regions that do not intersect at all.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@precal You mean: The solution of an inequality is a region. So if you have two inequalities you have two regions. If these regions do not intersect then there is no solution for the system.In other words the solution is the empty set.
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