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Assignment:Find the solution set of inequality 0 <50(25^2-n^3)^2
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 <50 * ( 25 ^ 2 - n ^ 3 ) ^ 2 (1)
50 * ( 25 ^ 2 - n ^ 3 ) ^ 2 < n (2)
From inequality(1):
n < √7995361/√109375 或 n > √7995361/√109375
From inequality(2):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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