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Assignment:Find the solution set of inequality (x^2+1)/(x−3) >(x^2+1)/(3x−2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x ^ 2 + 1 ) / ( x - 3 ) > ( x ^ 2 + 1 ) / ( 3 * x - 2 ) (1)
From the definition field of divisor
x - 3 ≠ 0 (2 )
From the definition field of divisor
3 * x - 2 ≠ 0 (3 )
From inequality(1):
-1/2 < x < 0.666667 或 x > 3
From inequality(2):
x < 3 或 x > 3
From inequality(3):
x < 2/3 或 x > 2/3
From inequalities (1) and (2)
-1/2 < x < 0.666667 或 x > 3 (4)
From inequalities (3) and (4)
-1/2 < x < 2/3 或 x > 3 (5)
The final solution set is :
-1/2 < x < 2/3 或 x > 3Your problem has not been solved here? Please take a look at the hot problems !