Question 708765
How would you explain to someone how to graph y < -2x + 3? 
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1st: graph the boundary line y = -2x+3 as a dashed line.
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2nd: Shade the half-plane BELOW the boundary line because
you want y LESS then -2x+3.
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{{{graph(400,400,-10,10,-10,10,y < -2x+3)}}}
Cheers,
Stan H.