SOLUTION: (4,10) 9x-y>or equal 23 5x+0.2>or equal 20 it says solve by graphing ok i do not get one single thing about systems of linear inequalities this question is a pain

Algebra ->  Linear-equations -> SOLUTION: (4,10) 9x-y>or equal 23 5x+0.2>or equal 20 it says solve by graphing ok i do not get one single thing about systems of linear inequalities this question is a pain       Log On


   

Question 153: (4,10)
9x-y>or equal 23
5x+0.2>or equal 20
it says solve by graphing

ok i do not get one single thing about systems of linear inequalities
this question is a pain
Answer by KMST(5484) About Me  (Show Source):
You can put this solution on YOUR website!
(4,10) maybe an interval for x values or the coordinates of a point
9x-y%3E=23
5x%2B0.2%3E=20
The solutions to those inequalities include the cases (equations) were the equal sign applies:
9x-y=23<-->9x-23=y<-->green%28y=9x-23%29<-->green%28y=9%28x-2%29-5%29 _ includes points A%283%2C4%29 and B%284%2C13%29 .
5x%2B0.2=20<-->5x=20-0.2<-->5x=19.8-->x=19.8%2F5-->blue%28x=3.86%29 _ a vertical line.
The lines represented are shown below:


The solutions for 9x-y%3E=23 are all the points on the line
9x-y=23<-->green%28y=9x-23%29<-->green%28y=9%28x-2%29-5%29 , plus the half of the xy plane to one side of the line.
Will it be the side that includes the origin O%280%2C0%29 ?
When x=y=0 9%2A0-0=0%3C23 so O%280%2C0%29 is not part of the solution to 9x-y%3E=23 .
It must be the green line. plus the side of the green line that does not include O%280%2C0%29 :
graph%28400%2C640%2C-5%2C5%2C-1%2C15%2C-2%2C9x-y%3E=23%29
The solutions for 5x%2B0.2%3E=20 are all the points on the blue line
5x%2B0.2=20-->blue%28x=3.86%29 and the point to the right, that make 5x%2B0.2%3E20 :
graph%28400%2C640%2C-5%2C5%2C-1%2C15%2C-2%2Cx=-2%2C5x%2B0.2%3E20%29
The solution to system%289x-y%3E=23%2C5x%2B0.2%3E=20%29 are in both, the green and blue regions, so
so the solutions are all the points in the regions the are shaded (with black vertical lines) below,
including its green and blue borders .
The point red%28P%284%2C10%29%29 is one of the infinitely many solutions.