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  3. consider a finite rectangle in the plane. we will

consider a finite rectangle in the plane. we will draw some number of lines that cut...

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Advance Math

consider a finite rectangle in the plane. we will draw somenumber of lines that cut through the rectangle. In section 28.7.6we define what we mean when we say that a map can be colored usingtwo colors. Treat the rectangle that we just drew as a map, withregions defined by the lines that cut through it. Use induction toprove that, no matter how many lines we draw, the rectangle can becolored using two colors.

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