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Assignment:Find the solution set of inequality -10 ≤9/(m+1) ≤6 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-10 ≤9 / ( m + 1 ) (1)
9 / ( m + 1 ) ≤6 (2)
From the definition field of divisor
x + 1 ≠ 0 (3 )
From inequality(1):
m ≤ -19/10 或 m ≥ -1
From inequality(2):
m ≤ -1 或 m ≥ 1/2
From inequality(3):
m < -1 或 m > -1
From inequalities (1) and (2)
m ≤ -19/10 或 -1 ≤ m ≤ -1 或 m ≥ 1/2 (4)
From inequalities (3) and (4)
m ≤ -19/10 或 m ≥ 1/2 (5)
The final solution set is :
m ≤ -19/10 或 m ≥ 1/2Your problem has not been solved here? Please take a look at the hot problems !