SOLUTION: solve and graph 3x +Y >or = 4 x+2y <or=2 do I go to solve for x first and subtract the quantity of x from each side or do I multiply the first equation by 2y an

Question 49875: solve and graph 3x +Y >or = 4
x+2y do I go to solve for x first and subtract the quantity of x from each side or do I multiply the first equation by 2y and the second equation by Y, I'm stumped as to which to do. couldn't find the symbol for greater than or equal to and vice versa. seems like I should do 2*3x+2*y>= 2*4 and but then the second one doesn't seem right Y*x+x*2Y<=2*2 I sort of lost on this problem, I'm getting lost on what to do on problems easily.
Pat
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve and graph 3x +Y >or = 4

Solving for "Y" you get:
Y>=-3x+4
Graph the equality y=-3x+4 by plotting points:
If x=0 then y=4 giving point (0,4)
Ifx=1 then y=1 giving point (1,1)
Plot these two points and draw a line thru them.
That is the graph of the equality.
What about the inequality: y>-3x+4.
This is the half-plane above the equality line:
shade in that half-plane.
The line and the half-plane are the graph of your
original problem.
Cheers,
Stan H.
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