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[ 1/1Inequality]
Assignment:Find the solution set of inequality (91.25*(n-1)/3*n+1)*(91.25*(n-1)/3*n+1)+(1825/(3n+1)+97.33)*(1825/(3n+1)+97.33) <= 60.75*60.75 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 91.25 * ( n - 1 ) / 3 * n + 1 ) * ( 91.25 * ( n - 1 ) / 3 * n + 1 ) + ( 1825 / ( 3 * n + 1 ) + 97.33 ) * ( 1825 / ( 3 * n + 1 ) + 97.33 ) <= 60.75 * 60.75 (1)
From the definition field of divisor
3 * x + 1 ≠ 0 (2 )
From the definition field of divisor
3 * x + 1 ≠ 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 < -1/3 或 n > -1/3
From inequality(3):
n < -1/3 或 n > -1/3
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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