SOLUTION: Graph the system of 5x � 2y < 10, x + 2y > -2, x � y > -4 Where do I begin and how do I graph? I have been having a difficult time with graphing.

Question 127882: Graph the system of 5x � 2y < 10, x + 2y > -2, x � y > -4
Where do I begin and how do I graph? I have been having a difficult time with graphing.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Graph the system of
5x � 2y < 10
x + 2y > -2
x � y > -4
----------------
Solve each for "Y":
y > (5/2)x - 5
y > (-1/2)x - 1
y < x + 4
-------------------
Graph the boundary for each of these inequalities
by graphing each EQUALITY:
y = (5/2)x - 5
y = (-1/2)x - 1
y = x +4
--------------------

-------------------
Shade the half-plane above (5/2)x-5
Shade the half-plane above (-1/2)x-1
Shade the half-plane below x+4
-----------------------------
The intersection of these half-planes is the solution set for
the system of three inequalities.
-------------------------------
Cheers,
Stan H.

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