What is happening in this dotted circle? $x^2+y^2 < 2x$
I don't understand how this forms this dotted circle that I get when I type this into geogebra.
What is happening in this dotted circle? $x^2+y^2 < 2x$
I don't understand how this forms this dotted circle that I get when I type this into geogebra.
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$$\begin{align}x^2+y^2\lt 2x&\iff x^2-2x+y^2\lt 0\\&\iff(x^2-2x+1)+y^2\lt 1\\&\iff(x-1)^2+y^2\lt1.\end{align}$$ This represents the inside of the circle $(x-1)^2+y^2=1$ without its circumference.