Can someone give me some hints for proving that $∀\varepsilon >0, x+\varepsilon > t\Rightarrow x\geq t$? I really don’t know how to start with. Thanks
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Let $x+\epsilon>t$ for all $\epsilon >0$ but assume (for contradiction) that $x<t$. – AloneAndConfused Sep 28 '17 at 22:44
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try this question: https://math.stackexchange.com/questions/438477/discrete-mathematics-x-leq-y-epsilon-implies-x-leq-y – Sep 28 '17 at 23:29