The Function
Constraints: (>=greater or equal to, >=less than or equal to)
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What are the corner points? I don't even know where to begin
To plot x + y > 11, perform the following steps:
1. Solve for y in the equation x + y = 11, if you can. Answer: y = - x + 11.
2. Plot the equation version of the inequality.
3. The solution to the inequality is going to be either the half-plane on one side of the equation's plot, or the other. To determine which one is correct, plug in a point that is not on the line, for example, (1,0), and see if it satisfies the inequality. If it does, then the half-plane containing that point is the solution. Otherwise, the other half-plane is the solution.
Does that make sense? This procedure, incidentally, works for any proper function. You just won't have clean half-planes to deal with; you'll have regions of the plane to deal with.