How to determine the most convenient test point?

Maz

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I am given a question where I am asked to determine the most convenient test point used to determine if the points in a region defined by Y<1.4x+.6 satisfy the inequality are. I assumed the answer would be the point (0,0), but I am not 100% certain. Am I correct? Thanks
 
That depends entirely upon what you think is 'convenient'. Any point that is not on the boundary will work. The whole point is to pick a point that is easy to work with. Certainly it is NOT 'convenient' to waste a lot of time worrying about what is 'convenient'!
 
I am given a question where I am asked to determine the most convenient test point used to determine if the points in a region defined by Y<1.4x+.6 satisfy the inequality are. I assumed the answer would be the point (0,0), but I am not 100% certain. Am I correct? Thanks

Like HOI said, "convenient" is in the eye of the beholder. Now (0,0) is definitely the easiest test point to use and in this instance 0 < 0.6 is TRUE so shade the region that includes the origin (0,0).

One thing to keep in mind, if your equation actually crosses through the origin, then you can't use (0,0) as a test point. (1,0) may be next easiest.
 
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