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Home » \fracab + \fracba = 3. - wispro

\fracab + \fracba = 3. - wispro

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Subtract 4 from both sides to bring all terms to one side:

📌 rac{x+3}{x-2} - 4 < 0.

📌 Write the left-hand side as a single rational expression:

📌 rac{x+3 - 4(x - 2)}{x - 2} = rac{x+3 - 4x + 8}{x - 2} = rac{-3x + 11}{x - 2}.

📌 So the inequality becomes:

📌 rac{-3x + 11}{x - 2} < 0.

📌 We analyze the sign of this rational expression by identifying the critical points where the numerator or denominator is zero:

📌 Numerator zero: $ -3x + 11 = 0 \Rightarrow x = rac{11}{3} $.

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