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