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