Tuesday, November 11, 2008

Section 1.2

(For a PDF of this work, click here.)

"If r<s then \inline r<\frac{r+s}{2}."
If \inline r<s then .  Therefore if  then .  Now consider:
Thus  needs to have some positive number added to it in order for it to equal ; hence, .

"If  then ."
For the same reason as above, .  Thus we have:

Thus  needs to have some positive value subtracted from it in order to equal ; hence, .

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