SOLUTION: I'm trying to help my son but I need a little help also, anything would be appreciated, shown in a way I can understand Please. Solve the system of two linear inequalities graph

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Question 598672: I'm trying to help my son but I need a little help also, anything would be appreciated, shown in a way I can understand Please.
Solve the system of two linear inequalities graphically.
2y is less than -5x-10
5y is equal to or greater than 4x + 20
step one# graph the first inequality: 2y is less than -5x -10

step two# graph the second inequality: 5y is equal to or greater than 4x + 20
step 3# indicate the region that satisfies both inequalities.



Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of two linear inequalities graphically.
2y is less than -5x-10
5y is equal to or greater than 4x + 20
step one# graph the first inequality:
2y is less than -5x -10
2y < -5x-10
y < (-5/2)x - 5
----
1st: Graph the boundary as a dashed line:
Use points (0,-5) and (2,-10)
Draw a dashed line thru them
2nd: Shade the half-plane BELOW the boundary line.
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step two# graph the second inequality: 5y is equal to or greater than 4x + 20
5y >= 4x+20
y >= (4/5)x + 4
1st: Graph the boundary as a solid line:
Use points (0,4) and (5,8)
Draw a solid line thru them.
2nd: Shade the half-plane ABOVE the boundary line
----
step 3# indicate the region that satisfies both inequalities.
The solution is ALL of the points that are in both graphs.
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy+%3E=%284%2F5%29x%2B4%2Cy+%3C+%28-5%2F2%29x-5%29
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Cheers,
Stan H.