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

Algebra.Com
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(75887)   (Show Source): You can put this solution on YOUR website!
Yes, you are correct.
Cheers,
Stan H.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
You are correct. You can simply check your answer by plugging in the solution

Start with the first inequality


Plug in x=3, y=-5


Multiply


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


Move onto with the second inequality


Plug in x=3, y=-5


Multiply


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.

RELATED QUESTIONS

Given the following inequalities which point is located in the shaded area y+1<-x Y>1... (answered by stanbon)
Given the following inequalities which point is located in the shaded area y<2x-3 (the (answered by stanbon)
which point is located on the x axis? -1,-1 -4, 0 0, 5 3,... (answered by luke94)
which point is located on the line represented by the equation y + 4 = -5(x - 3) 1.... (answered by josgarithmetic)
Which point is not a solution to the system of inequalities? y > x – 5 y ≤ –x + 3 (answered by robertb)
1-which of the following equations passes through the points (2,4) and (-3,-6)? 2-Given... (answered by stanbon)
Which ordered pair is not a solution of the following system of inequalities? 3x + 2y... (answered by Amrata1)
What's the equation of the given lines in standard form?? Help Been stuck for hours ). (answered by ccs2011)
Hi, I need assistance in solving the following inequalities: 1) -(3/4)x >=... (answered by stanbon)