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Assignment:Find the solution set of inequality 2x >x <4 >x^x <56x^-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 4 inequalities:
2 * x > x (1)
x <4 (2)
4 > x ^ x (3)
x ^ x <56 * x ^ -1 (4)
From inequality(1):
x > 0
From inequality(2):
x < 4
From inequality(3):
x < 2
From inequality(4):
x < 2.847153
From inequalities (1) and (2)
0 < x < 4 (5)
From inequalities (3) and (5)
0 < x < 2 (6)
From inequalities (4) and (6)
0 < x < 2 (7)
The final solution set is :
0 < x < 2 Your problem has not been solved here? Please take a look at the hot problems !