SOLUTION: Solve the following system of inequalities by graphing. draw a graph 5x - 4y ≥ -20 3x - 2y ≤ -8 y ≥ -3 -9x + 6y ≥ 18 -x + 3y ≥ -12 y ≤

Algebra ->  Systems-of-equations -> SOLUTION: Solve the following system of inequalities by graphing. draw a graph 5x - 4y ≥ -20 3x - 2y ≤ -8 y ≥ -3 -9x + 6y ≥ 18 -x + 3y ≥ -12 y ≤      Log On


   



Question 650141: Solve the following system of inequalities by graphing. draw a graph
5x - 4y ≥ -20
3x - 2y ≤ -8
y ≥ -3

-9x + 6y ≥ 18
-x + 3y ≥ -12
y ≤ 4


3x + 12y ≥ -108
-7x + 6y ≤ 48
y ≤ -4


6x + 10y ≤ -40
x + y ≤ -8
y ≥ -1

-4x + 16y ≥ 128
-3x + 8y ≤ 80
y ≤ 12

3x + 9y < -18
-x + 3y ≤ 12
y < 0

5x + 2y ≥ -6
-5x + 2y < 14
y < 6

-6x - 2y < -16
2x - y > 2
y ≥ -4


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
First you have to solve the first one for y and put it into y+=+mx+%2B+b form, but remember to switch the sign if you divide by -1
5x+-+4y+%3E=+-20
3x+-+2y+%3C=+-8
y+%3E=+-3
5x+-+4y+%3E=+-20..->...5x+%2B20%3E=+4y->...%285%2F4%29x+%2B5%3E=+y...or ..y%3C=%285%2F4%29x+%2B5
3x+-+2y+%3C=+-8..->...3x+%2B8%3E=+2y->...%283%2F2%29x+%2B4%3E=+y...or...y%3C=%283%2F2%29x+%2B4

y+%3E=+-3
"Solving" systems of linear inequalities means "graphing each individual inequality, and then finding the overlaps of the various solutions".
So you need to graph each inequality, and then find the overlapping portions of the solution regions.

first see them just like lines


now see overlapping area (on this picture painted white)

2.
-9x+%2B+6y+%3E=+18
-x+%2B+3y+%3E=+-12
y+%3C=+4
-9x+%2B+6y+%3E=+18..->...6y%3E=9x%2B18->...y%3E=%289%2F6%29x%2B3
-x+%2B+3y+%3E=+-12}..->...3y%3E=x%2B12..->...y%3E=%281%2F3%29x%2B4

y+%3C=+4


now see overlapping area (on this picture painted white)

I hope, you will be able to solve other systems by yourself following these examples.