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I need to write the statement "Given any x in I and positive epsilon" symbolically.

What is confusing is I know you can't the same variable for two different quantifiers and I don't think I can say I∈x ε∈x. Can anyone help clear this up for me?

George
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1 Answers1

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$ \forall x \in I \; \text{and} \; \; \forall \epsilon > 0 $