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Equations and inequalities with two variables

Graph of the equation F(x,y)=0F(x,y)=0
If F(x,y)=0F(x,y)=0 can be rewritten as y=f(x)y=f(x) or x=g(y)x=g(y), the graph is a curve in the coordinate plane. A linear equation ax+by+c=0ax+by+c=0 (not both a,ba,b zero) is a line. A strict inequality F(x,y)>0F(x,y)>0 usually gives a region (an open half-plane in the linear case); a non-strict one — including the boundary.
The solution set of an inequality with two variables is often a shaded half-plane relative to a line
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