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College admission question

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Strategy: Assume one of the inequalities hold, try to deduce the other inequalities.

Since x^4 +1>0 for all x real, B) holds if and only if C) holds.

C) iff A) holds if x>1.
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x⁴+1 cannot be 0 and thus it doesn't matter on the denominator.
Therefore is B and C will have the same set of solutions
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x⁴+1 cannot be 0 and thus it doesn't matter on the denominator.
Therefore is B and C will have the same set of solutions
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