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