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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (n-1000)^140/(n-1001)^140*(n-1)^150/n^150 >= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( n - 1000 ) ^ 140 / ( n - 1001 ) ^ 140 * ( n - 1 ) ^ 150 / n ^ 150 >= 1 (1)
From the definition field of divisor
x - 1001 ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
n < 1001 或 n > 1001
From inequality(3):
n < 0 或 n > 0
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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