Answer:
Option B is correct.
(-4, -2)
Step-by-step explanation:
Given the system of inequality:
-3x + 4y >0
x -3y >0
Option A:
(0, 0)
Substitute these point in the given system of equation.
[tex]-3(0)+4(0) = 0> 0[/tex] False
0 -3(0) = 0 >0 False.
Option B
(-4, -2)
Substitute the value of point in the given system of equation.
-3(-4) + 4(-2) = 12 -8 = 4 >0 True
-4 -3(-2) = -4 +6 = 2 >0 True
Option C.
(6, 2)
Substitute the value of point in the given system of equation.
-3(6) + 4(2) = -18+8 = -10 >0 False
-6 -3(2) = -6 -6 = -12 >0 False
Option D
(6, 0)
Substitute the value of point in the given system of equation.
-3(6) + 4(0) = -18+0 = -18>0 False
-6 -3(0) = -6 -0 = -6 >0 False
Therefore, the only point which satisfies the given system of inequalities is, (-4, -2)
