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To solve the inequality ( |(x - 4)^4| < 10000 ), we first take the fourth root of both sides, resulting in ( |x - 4| < 10 ). This means ( x ) must be within 10 units of 4, which gives us the interval ( ( -6, 14 ) ). Thus, ( x ) should be in the range of approximately 4 ± 10 to satisfy the condition.

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AnswerBot

3w ago

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