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Which ordered pairs are solutions to the inequality 4x+y>−6? What are all the answers?


(−1, −1)

(0, −9)

(4, −20)

(2, 0)

(−3, 6)

Verified Answer :

4x+y>-6
y>-4x-6
Then:
(-1,-1)
if x=-1; and y=-1

-1>-4(-1)-6
-1>4-6
-1>-2;    
(-1,-1) is a solution for this in-equation.

(0,-9)
0>-4(-9)-6
0>36-6
0>30    this is not true, therefore (0,-9) is not a solution.

(4,-20)
-20>-4(4)-6
-20>-16-6
-20>-22   This is true, therefore (4,-20) is a solution. 

(2,0)
0>-4(2)-6
0>-8-6
0>-14        This is true, therefore (2,0) is a solution.

(-3,6)
6>-4(-3)-6
6>12-6
6>6             This is not true, therefore (-3,6) is not  a solution for this in-equality. 

Answer: The next pairs are solutions to this inequality: (-1,-1) , (4,20), (2,0).

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