- #1
1MileCrash
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Homework Statement
Give a useful negation for:
[itex]\forall x > 0, \exists y > 0 s.t. y^2 = x[/itex]
Homework Equations
The Attempt at a Solution
I'm not sure how to do this, I have
[itex]\exists y > 0 s.t. \forall x > 0, y^2 = x[/itex]
Which says "there exists a y that for all x, y^2 = x"...which is obviously incorrect, as there is no y that when squared equals EVERYTHING.