SOLUTION: Given the following inequalities which point is located in shaded area? x-2y>6 x+4y<-4 The points are.... 3,-1 3,-5 -4,-3 0,-1 The answer I came up with was 3,-5 is this co

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Question 115529: Given the following inequalities which point is located in shaded area?
x-2y>6
x+4y<-4
The points are....
3,-1
3,-5
-4,-3
0,-1
The answer I came up with was 3,-5 is this correct?
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, you are correct.
Cheers,
Stan H.

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. You can simply check your answer by plugging in the solution

x-2y%3E6 Start with the first inequality


3-2%28-5%29%3E6 Plug in x=3, y=-5


3%2B10%3E6 Multiply


13%3E6 Add. Since this inequality is true, the solution (3,-5) satisfies the first inequality


x%2B4y%3C-4 Move onto with the second inequality


3%2B4%28-5%29%3C-4 Plug in x=3, y=-5


3-20%3C6 Multiply


-17%3C6 Add. Since this inequality is true, the solution (3,-5) satisfies the second inequality


Since the solution (3,-5) satisfies both of the inequalities, our answer is verified.