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☆1 inequalities
[ 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 the definition field of divisor
3 * x + 1 ≠ 0 (4 )
From the definition field of divisor
3 * x + 1 ≠ 0 (5 )
From inequality(1):
-13.368117 ≤ n ≤ -4.584705
From inequality(2):
n < -1/3 或 n > -1/3
From inequality(3):
n < -1/3 或 n > -1/3
From inequality(4):
n < -1/3 或 n > -1/3
From inequality(5):
n < -1/3 或 n > -1/3
From inequalities (1) and (2)
-13.368117 ≤ n ≤ -4.584705 (6)
From inequalities (3) and (6)
-13.368117 ≤ n ≤ -4.584705 (7)
From inequalities (4) and (7)
-13.368117 ≤ n ≤ -4.584705 (8)
From inequalities (5) and (8)
-13.368117 ≤ n ≤ -4.584705 (9)
The final solution set is :
-13.368117 ≤ n ≤ -4.584705Your problem has not been solved here? Please take a look at the hot problems !