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Home » From Gardens to Celebrations: The Official Blossom Charming Everyone in WA! - SUpost

From Gardens to Celebrations: The Official Blossom Charming Everyone in WA! - SUpost

📅 July 7, 2026 👤 scraface

Jul 07, 2026

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So the inequality becomes:
rac{-3x + 11}{x - 2} < 0.
We analyze the sign of this rational expression by identifying the cri...
Numerator zero: $ -3x + 11 = 0 \Rightarrow x = rac{11}{3} $.
Denominator zero: $ x - 2 = 0 \Rightarrow x = 2 $.
These divide the real line into intervals:
We test the sign of $ rac{-3x + 11}{x - 2} $ in each interval:
For $ x < 2 $, say $ x = 0 $: numerator $ -3(0) + 11 = 11 > 0 $, denom...
For $ 2 < x < rac{11}{3} $, say $ x = 3 $: numerator $ -9 + 11 = 2 >...
For $ x > rac{11}{3} $, say $ x = 4 $: numerator $ -12 + 11 = -1 < 0...

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