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Home » But since thatâs not acceptable in a competition, - Upplift

But since thatâs not acceptable in a competition, - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Solve the inequality \( rac{2x - 1}{x + 3} > 1 \), where \( x

📌 rac{2x - 1}{x + 3} > 1

📌 Subtract 1 from both sides:

📌 rac{2x - 1}{x + 3} - 1 > 0 \Rightarrow rac{2x - 1 - (x + 3)}{x + 3} > 0 \Rightarrow rac{2x - 1 - x - 3}{x + 3} > 0 \Rightarrow rac{x - 4}{x + 3} > 0

📌 Now analyze the sign of \( rac{x - 4}{x + 3} \)

📌 Critical points: \( x = -3 \) (excluded), \( x = 4 \)

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