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Assignment:Find the solution set of inequality (n+1)/(3n-16) <(n+2)/(3n-13) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( n + 1 ) / ( 3 * n - 16 ) < ( n + 2 ) / ( 3 * n - 13 ) (1)
From the definition field of divisor
3 * x - 16 ≠ 0 (2 )
From the definition field of divisor
3 * x - 13 ≠ 0 (3 )
From inequality(1):
4.333333 < n < 5.333333
From inequality(2):
n < 16/3 或 n > 16/3
From inequality(3):
n < 13/3 或 n > 13/3
From inequalities (1) and (2)
4.333333 < n < 5.333333 (4)
From inequalities (3) and (4)
13/3 < n < 5.333333 (5)
The final solution set is :
13/3 < n < 5.333333 Your problem has not been solved here? Please take a look at the hot problems !