- #1
amilapsn
- 22
- 0
Homework Statement
Prove or disprove the following
(i) ##\forall a\in\mathbb{R}[(\forall \epsilon>0,a<\epsilon)\Leftrightarrow a\leq 0]##
2. The attempt at a solution
Can't we disprove the above statement by telling ##a\leq 0 \nRightarrow (\forall \epsilon>0,a<\epsilon)## through a counter example like ##a\leq 0 \Rightarrow (\epsilon=0,a\leq \epsilon)## or something?