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Home » Solución: El problema es una permutación de un multiconjunto. - 500apps

Solución: El problema es una permutación de un multiconjunto. - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 $ -3 \le x < \frac{5}{2} $:

📌 Then $ 2x - 5 < 0 $, $ x + 3 \ge 0 $, so:

📌 -(2x - 5) + (x + 3) = -2x + 5 + x + 3 = -x + 8 = 12 \Rightarrow -x = 4 \Rightarrow x = -4

📌 But $ -4 < -3 $, not in interval — discard.

📌 $ x \ge \frac{5}{2} $:

📌 Then both expressions $ \ge 0 $:

📌 Which is $ \ge \frac{5}{2} = 2.5 $ — valid.

📌 The two valid solutions are $ x = -\frac{10}{3} $ and $ x = \frac{14}{3} $. The largest is $ \frac{14}{3} $.

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