TITLE: Midpoint circle algorithm - explanation of change inequality sign at wikipedia
QUESTION [0 upvotes]: I try to analize "Midpoint circle algorithm", currently I think I understand every step described on wikipedia but I stuck at some point where inequality changes from "less than" to "more than" (see image below). Then what am I missing here?
wikipedia equations

REPLY [0 votes]: Pay close attention to the term $\left(1 - 2x_{j}\right)$. Since this quantity is negative and the author divides the last expression which was $< 0$ by $\left(1 - 2x_{j}\right)$, the inequality has to change, thus turning into $>0$
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