SOLUTION: 3 x + 2 y < 6 2 x - y > 2 solve and graph

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Question 974696: 3 x + 2 y < 6
2 x - y > 2
solve and graph

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
3 x + 2 y < 6
2 x - y > 2
*********************************************
3 x + 2 y < 6
2y < 6 - 3x
y < 3 - 3x/2
solution is y < (-3/2)(x - 2), x > 10/7
(10/7, +infinity), (-infinity, (-3/2)(x - 2))
**********************************************
2 x - y > 2
y+2 < 2x
y < 2x - 2
solution is y < 2(x - 1), x < or = 10/7
(-infinity, 10/7], (-infinity, 2(x-1))
**********************************************
to find x, solve
(-3/2)(x-2) = 2x-2
multiply both sides of = by 2
-3x+6 = 4x-4
-7x = -10
x = 10/7
**********************************************
+graph%28+300%2C+200%2C+0%2C+2%2C+-2%2C+2%2C+y+%3C+3+-+%283x%2F2%29%2C+y+%3C+2x+-+2%29+