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karate do belts in order - iBuildNew

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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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...
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...

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