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