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Let T = {x|(x+5)/(x-7)-5=(4x-40)/(13-x)}...

Let `T = {x|(x+5)/(x-7)-5=(4x-40)/(13-x)}`. Is T an empty set ? Justify your answer.

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To determine whether the set \( T = \{ x \mid \frac{x+5}{x-7} - 5 = \frac{4x - 40}{13 - x} \} \) is empty or not, we need to solve the equation given in the definition of the set. ### Step 1: Start with the given equation. We have: \[ \frac{x+5}{x-7} - 5 = \frac{4x - 40}{13 - x} \] ...
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