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