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Solving the System of Equations
To solve the system of equations, we need to find the values of the variables that satisfy both equations. The given system of equations is:
1. 8 + 4x > 0 2. 4 - 3x > -8
Let's solve these equations step by step:
1. Solving the first equation: 8 + 4x > 0 - Subtracting 8 from both sides: 4x > -8 - Dividing both sides by 4: x > -2
2. Solving the second equation: 4 - 3x > -8 - Adding 3x to both sides: 4 > -8 + 3x - Subtracting 4 from both sides: 0 > -12 + 3x - Adding 12 to both sides: 12 > 3x - Dividing both sides by 3: 4 > x
Therefore, the solution to the system of equations is: x > -2 and 4 > x.
In interval notation, the solution can be represented as (-∞, -2) U (4, ∞).
Please note that the solution is based on the given system of equations. If there are any additional constraints or information, please provide them for a more accurate solution.
I hope this helps! Let me know if you have any further questions.


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