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