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☆1 inequalities
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Assignment:Find the solution set of inequality 3/(x-3) >(x-4)/x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
3 / ( x - 3 ) > ( x - 4 ) / x (1)
From the definition field of divisor
x - 3 ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
0 < x < 1.394449 或 3 < x < 8.605551
From inequality(2):
x < 3 或 x > 3
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
0 < x < 1.394449 或 3 < x < 8.605551 (4)
From inequalities (3) and (4)
0 < x < 1.394449 或 3 < x < 8.605551 (5)
The final solution set is :
0 < x < 1.394449 或 3 < x < 8.605551 Your problem has not been solved here? Please take a look at the hot problems !