SOLUTION: 2x-y (less than or equal to) 4 x+2y (greater than or equal to) 6 I need to solve both these inequalities to find the correct solution set out of two possible sets. Thanks.

Question 1010660: 2x-y (less than or equal to) 4
x+2y (greater than or equal to) 6
I need to solve both these inequalities to find the correct solution set out of two possible sets. Thanks.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
includes the line with equation and half of the x-y plane to one side of that line.
To graph that lien we only need to points.
-->--> ,
so point (0,-4) belongs to the line with equation .
-->--> ,
so point (2,0) belongs to the line with equation .
With those two points we can graph line as
.
Since point (0,0) , the origin, satisfies ,
because ,
the half of the x-y plane that is the graph of is
, the half of the x-y plane that contains the origin.
We can do the same for :
-->--> ,
so point (0,3) belongs to the line with equation .
-->- ,
so point (6,0) belongs to the line with equation .
With those two points we can graph line as
.
Since point (0,0) , the origin, does not satisfy ,
because ,
the half of the x-y plane that is the graph of is
, the half of the x-y plane that does not contain the origin.
So the solution to is graphed as the shaded area below.

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