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Step-by-step explanation:
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<em>Answer:</em>
The inequality that is true is -5 - 3x > 10.
<em>Step-by-step explanation:</em>
if x = -6
we can subtitution x to every inequality, so :
-5 - 3x > 10
-5 - 3(-6) > 10
-5 - (-18) > 10
-5 + 18 > 10
13 > 10 [true]
-3 - 5x < -14
-3 - 5(-6) < -14
-3 - (-30) < -14
-3 + 30 < -14
27 < -14 [false]
2 - x < -3
2 - (-6) < -3
2 + 6 < -3
8 < -3 [false]
So if x=-6, inequality true is -5 - 3x > 10.
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Answer:
![x\in (-\infty , -4) \cup (-2,+\infty)](https://tex.z-dn.net/?f=x%5Cin%20%28-%5Cinfty%20%2C%20-4%29%20%5Ccup%20%28-2%2C%2B%5Cinfty%29)
Step-by-step explanation:
Solve the system of inequalities:
x + 4 < 0
OR:
6x > -12
The first inequality yields the solution:
x < -4
The second inequality gives the solution:
x > -2
The total solution is the disjunction of the individual solutions, i.e., the union of both.
It can be expressed as
![\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%5Cin%20%28-%5Cinfty%20%2C%20-4%29%20%5Ccup%20%28-2%2C%2B%5Cinfty%29%7D)