SOLUTION: How do you graph these inequalities in the coordinate plane? These are linear inequalities in Two Variables. a.) -3x+5y>2 (> is greater than or equal) b.) x-4y>-3 Kindly expla

Algebra ->  Graphs -> SOLUTION: How do you graph these inequalities in the coordinate plane? These are linear inequalities in Two Variables. a.) -3x+5y>2 (> is greater than or equal) b.) x-4y>-3 Kindly expla      Log On


   

Question 776761: How do you graph these inequalities in the coordinate plane? These are linear inequalities in Two Variables.
a.) -3x+5y>2 (> is greater than or equal)
b.) x-4y>-3
Kindly explain the solutions please. Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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%28400%2C400%2C-10%2C10%2C-5%2C5%2Cy+%3E+%283%2F5%29x%2B%282%2F5%29%29
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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%28400%2C400%2C-10%2C10%2C-5%2C5%2Cy+%3C+%281%2F4%29x%2B%283%2F4%29%29
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Cheers,
Stan H.