given the graph of 2x−6y≥12 below, determine whether each point is a solution or not to the given inequality. complete the table below by writing any 8 points that are solutions on the first column then their corresponding coordinates on the second column.
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Example: Solution Coordinate
A (0,0)
Answers
Given : the graph of 2x−6y≥12
To Find : 8 points which are the solution
Solution:
2x - 6y ≥ 12
=> x - 3y ≥ 6
(0, 0) is not a solution as 0 - 0 = 0 < 6
(0, -1) is not a solution as 0 + 3 = 3 < 6
(1 , 3) is not a solution as 1 - 9 = - 8 < 6
Similarly (-3, 5) , (-5 , 3) , (-9,1) , (-6 , - 1) , (4 , 2) , ( 7 , 6) ,(-1,0) and (9, - 3) are not the solution
(9 , 1) is solution as 9 - 3 = 6 = 6
(6 , -2) is solution as 6 + 6 = 12 > 6
Similarly other
x y
0 -4
-3 -3
-6 -4
-4 -5
-6 -6
-8 -6
2 -3
8 -3
6 -4
4 -5
7 -6
3 -6
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