Thread: Limit problem

How close to -2 do we have to take x so that the following inequality is satisfied? (Give the largest possible value.)
| x - (-2) | <_____

I'm not really sure how to set up this problem and whenever I just guess at numbers I end up with results that do not satisfy the inequality. This question is from a section where we are dealing with lower case delta and epsilon to find limits.

Thanks for your help

1/(x+2)^6 > 10^6

(x+2)^6 < 10^(-6)

then x+2 < 10^(-1)

yo have to be within .1