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