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