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Assignment:Find the solution set of inequality n+2 <= 242/(3n+3) <= n+4 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
n + 2 <= 242 / ( 3 * n + 3 ) (1)
242 / ( 3 * n + 3 ) <= n + 4 (2)
From the definition field of divisor
3 * x + 3 ≠ 0 (3 )
From inequality(1):
n ≤ -10.495369 或 -1 ≤ n ≤ 7.495369
From inequality(2):
-11.605859 ≤ n ≤ -1 或 n ≥ 6.605859
From inequality(3):
n < -1 或 n > -1
From inequalities (1) and (2)
-11.605859 ≤ n ≤ -10.495369 或 6.605859 ≤ n ≤ 7.495369 (4)
From inequalities (3) and (4)
-11.605859 ≤ n ≤ -10.495369 或 6.605859 ≤ n ≤ 7.495369 (5)
The final solution set is :
-11.605859 ≤ n ≤ -10.495369 或 6.605859 ≤ n ≤ 7.495369Your problem has not been solved here? Please take a look at the hot problems !