For every $\epsilon >0$ , if $a+\epsilon >b$ , can we conclude $a>b$?– math.stackexchange.com

For every $\epsilon >0$ , if $a+\epsilon >b$ , can we conclude $a>b$? –
math.stackexchange.com

If $a+\epsilon > b$ for each $\epsilon >0$, can we conclude that $a>b$?
Please help me to clarify the above. Thanks in advance.