\"\"

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The inequality is \"\".

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The rational function is cannot multiply with \"\", beacause it can be positive or negative.

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if \"\", then \"\", and when we multiply it, we need to switch the inequality sign.

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Therefore, multiply an expression containing \"\" in an inequality with out switching the inequality sign is wrong.

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Therefore, the student is wrong.

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Multiply an expression containing \"\" in an inequality with out switching the inequality sign is wrong.

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Therefore, the student is wrong.