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☆1 inequalities
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Assignment:Find the solution set of inequality (n+1)/(3n-16)
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( n + 1 ) / ( 3 * n - 16 ) < n / ( 3 * n - 19 ) (1)
From the definition field of divisor
3 * x - 16 ≠ 0 (2 )
From the definition field of divisor
3 * x - 19 ≠ 0 (3 )
From inequality(1):
n < 5.333333 或 n > 6.333333
From inequality(2):
n < 16/3 或 n > 16/3
From inequality(3):
n < 19/3 或 n > 19/3
From inequalities (1) and (2)
n < 5.333333 或 n > 6.333333 (4)
From inequalities (3) and (4)
n < 5.333333 或 n > 19/3 (5)
The final solution set is :
n < 5.333333 或 n > 19/3Your problem has not been solved here? Please take a look at the hot problems !