Question 776761
How do you graph these inequalities in the coordinate plane? These are linear inequalities in Two Variables.
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Procedure: You don't graph the inequality; you graph the boundary
of the inequality.  Then you determine the area corresponding to
the inequality:::
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a.) -3x+5y>= 2 
1st: Graph y = (3/5)x + (2/5) as a solid line 
2nd: Since you want y GREATER than (3/5)x + (2/5), shade the half-plane ABOVE the boundary.
{{{graph(400,400,-10,10,-5,5,y > (3/5)x+(2/5))}}}
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b.) x-4y>-3
1st: Graph y = (1/4)x + (3/4) as a dashed line.
2nd: Since you want y < (1/4)x+(3/4), shade the half-plane BELOW
the boundary.
{{{graph(400,400,-10,10,-5,5,y < (1/4)x+(3/4))}}}
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Cheers,
Stan H.