Wednesday, October 23, 2013

How do I solve for, y>4x

When there are two variables the solution is usually expressed as a graph because the solution sets are typically infinite. For example (1,-1), (1,10), (2,1000) are all solutions to y>4x. In fact any ordered pair for which the y coordinate is more than 4 times the x coordinate is a solution. So in general we graph the function (in this case y=4x) and we shade the region(s) where the inequality is true ( in this case above the line withe the line being dashed to show that the boundary is not included)

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