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tuggler
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Homework Statement
Show that the set of [tex]\mathbb{R}^2[/tex] given by [tex]S = \{(x, y) \in \mathbb{R}^2 : x > y\}[/tex] is open.
Homework Equations
The Attempt at a Solution
Why is S the half plane that has boundary given by the line [tex]y = -x?[/tex]