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