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Assignment:Find the solution set of inequality 0
Question type: Inequality
Solution:
The inequality can be reduced to 5 inequalities:
0 < x * x * x * x (1)
x * x * x * x < x * x * x (2)
x * x * x < x * x (3)
x * x < x (4)
x <1 (5)
From inequality(1):
x < 0 或 x > 0
From inequality(2):
0 < x < 1
From inequality(3):
x < 0 或 0 < x < 1
From inequality(4):
0 < x < 1
From inequality(5):
x < 1
From inequalities (1) and (2)
0 < x < 0 或 0 < x < 1 (6)
From inequalities (3) and (6)
0 < x < 0 或 x > 0 或 0 < x < 1 (7)
From inequalities (4) and (7)
0 < x < 0 或 0 < x < 1 (8)
From inequalities (5) and (8)
0 < x < 0 或 0 < x < 1 (9)
The final solution set is :
0 < x < 0 或 0 < x < 1 Your problem has not been solved here? Please take a look at the hot problems !