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A text book that I'm reading has $k < -5$ as the solution for $k+5 > 0$. What I want to know is how this can be - why is it not $k > -5$?

Edit: looks like the text book's made a mistake.

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    Yeah, that's what I'm thinking as well. But I just need to make sure because it doesn't make logical sense. The book is http://www.amazon.co.uk/Mathematics-Higher-Level-Fabio-Cirrito/dp/1876659114/ref=pd_cp_b_02011-12-20

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To get this question into the answered list:

The textbook made a mistake. Starting from $k+5>0$ we can add $-5$ to both sides, producing $k+5+(-5)>0+(-5).$ Because $5+(-5)=0$ and $0+(-5)=-5$, we have $k+0>-5.$ Finally, because $k+0=k$, we have $k>-5.$

Thus, the correct solution is $k>-5$, not $k<-5$.

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    No problem! I am happy to help and it is excellent LaTeX practice :)2011-12-20