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Solve the inequality
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Solve the inequality

Solve the inequality-example-1
User Rackable
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1 Answer

27 votes
27 votes

Answer:


x \leq 0\\or\\1 \leq x \leq (3)/(2)

Explanation:


2x^3-5x^2+3x \leq 0\\\Rightarrow x.(2x^2-5x+3) \leq 0\\\Rightarrow x.(2x^2-2x-3x+3) \leq 0\\\Rightarrow x.[2x(x-1)-3(x-1)] \leq 0\\\Rightarrow x(x-1)(2x-3) \leq 0\\Therefore\\ x \leq 0\\or\\1 \leq x \leq (3)/(2)

User Falselight
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