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☆1 inequalities
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Assignment:Find the solution set of inequality 0 <(x+6)(x-2)(x-1) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 < ( x + 6 ) * ( x - 2 ) * ( x - 1 ) (1)
( x + 6 ) * ( x - 2 ) * ( x - 1 ) <1 (2)
From inequality(1):
-6 < x < 1 或 x > 2
From inequality(2):
x < -5.982057 或 0.871082 < x < 2.110974
From inequalities (1) and (2)
-6 < x < -5.982057 或 0.871082 < x < 1 或 2 < x < 2.110974 (3)
The final solution set is :
-6 < x < -5.982057 或 0.871082 < x < 1 或 2 < x < 2.110974 Your problem has not been solved here? Please take a look at the hot problems !