Quick Question (Epsilon/Delta Limit Proofs)

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Homework Statement


[PLAIN]http://img641.imageshack.us/img641/2494/mathg.png
I've worked through it and at the 1st step I get:
(1/-e+1)<x<(1/e+1)

How do they have
(1/e+1)<x<(1/-e+1)?

Do you switch the signs of an inequality when you take the inverse of both sides?
 
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1<2. 1/1>1/2. Yes, you do reverse the inequalities when you invert.
 
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