When is it possible for a system of two inequalities to have no solution?
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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
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But the idea is right. If the system leads you to a contradiction.
thank you guys <3
thanks no-data, your english is better than mine today I guess :P
Thanks TT =)
Inequalities are solution regions. You could have two regions that do not intersect at all.
@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.