anonymous
  • anonymous
When is it possible for a system of two inequalities to have no solution?
Mathematics
jamiebookeater
  • jamiebookeater
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TuringTest
  • TuringTest
when 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
  • anonymous
Those are not inequalities guys.
Xishem
  • Xishem
\[x+y<1\]\[x+y>1\]

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anonymous
  • anonymous
But the idea is right. If the system leads you to a contradiction.
anonymous
  • anonymous
thank you guys <3
TuringTest
  • TuringTest
thanks no-data, your english is better than mine today I guess :P
anonymous
  • anonymous
Thanks TT =)
precal
  • precal
Inequalities are solution regions. You could have two regions that do not intersect at all.
anonymous
  • anonymous
@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.
precal
  • precal
Yes, nicely put.

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