Respuesta :
(-1, -2), (-2, -1) and (2, -4) are solutions to the inequality
The given inequality is:
-x - 2y > 3
To know which of the points given as options are the solutions to the given inequality, substitute the given points into -x - 2y, anyone that gives a result greater than 3 is a solution to the inequality
For (-1, -2)
Substitute x = -1, and y = -2 into -x - 2y
-(-1) - 2(-2)
= 1 + 4
= 5
Since 5 > 3, (-1, -2) is a solution to the inequality
For (1, -2)
Substitute x = 1, and y = -2 into -x - 2y
-(1) - 2(-2)
= -1 + 4
= 3
Since the result is not greater than 3, (1, -2) is not a solution to the inequality
For (-2, -1)
Substitute x = -2, and y = -1 into -x - 2y
-(-2) - 2(-1)
= 2 + 2
= 4
Since 4 > 3, (-2, -1) is a solution to the inequality
For (2, -4)
Substitute x = 2, and y = -4 into -x - 2y
-(2) - 2(-4)
= -2 + 8
= 6
Since 6 > 3, (2, -4) is a solution to the inequality
Therefore, (-1, -2), (-2, -1), and (2, -4) are solutions to the inequality
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