To solve the equation \( v + \frac{11}{3} = \frac{1}{3} \) using inverse operations, we want to isolate \( v \).
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Start with the original equation: \[ v + \frac{11}{3} = \frac{1}{3} \]
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Subtract \( \frac{11}{3} \) from both sides to use the inverse operation (subtracting) to isolate \( v \): \[ v = \frac{1}{3} - \frac{11}{3} \]
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Now, simplify the right-hand side: \[ v = \frac{1 - 11}{3} = \frac{-10}{3} \]
So, the solution is: \[ v = -\frac{10}{3} \]
None of the provided answer choices correspond directly to \(-\frac{10}{3}\). However, \(-\frac{10}{3}\) could be noted as:
- As a decimal, it is approximately \(-3.33\).
- It doesn't directly correspond to any of the choices A (-103), B (-4), C (4), or D (-103).
Given that your options are a bit unclear, please check if there is a correction or additional context provided in the question. However, the solution derived is \(-\frac{10}{3}\).