SOLUTION: sketch the solution to each system of inequalities 5x-2y<-6 x+2y<-6

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Question 402373: sketch the solution to each system of inequalities 5x-2y<-6
x+2y<-6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Note: You never graph an inequality directly.
You must 1st graph its boundary which is
always an equality.
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sketch the solution to each system of inequalities
5x-2y<-6
1st: Solve for "y":
2y >5x+6
y > (5/2)x+3
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2nd: Graph the boundary as a dashed line:
Graph y = (5/2)x+3
If x = 0 y = 3
If x = 2 y = 8
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%285%2F2%29x%2B3%29
3rd: Shade the half-plane ABOVE the boundary
because you want y GREATER than (5/2)x+3
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy+%3E+%285%2F2%29x%2B3%29
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Please follow the same steps for the problem below.
Cheers,
Stan H.
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x+2y<-6