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Printjmc
algebra intermediate
Problem
Consider the set of all points in the coordinate plane for which one of the coordinates is exactly twice the other. If we were to plot all such points, into how many regions would the resulting graph split up the plane?
Solution
Either the coordinate is twice the coordinate, in which case we have the line , or the coordinate is twice the coordinate, in which case we have the line . The graph of these two lines is shown below:
The plane is split into regions.
The plane is split into regions.
Final answer
4