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Question

Solve the following inequality:
3x2|x3|>9x2.

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Solution

3x2|x3|>9x2

3x2x+3>9x2,3x2+x3>9x2

3x2x+39x+2>0,3x2+x39x+2>0

3x210x+5>0,3x28x1>0

x<4193,x>4+193

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