current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (x+1)/(x-2)-(x+7)/(x+1) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x + 1 ) / ( x - 2 ) - ( x + 7 ) / ( x + 1 ) >0 (1)
From the definition field of divisor
x - 2 ≠ 0 (2 )
From the definition field of divisor
x + 1 ≠ 0 (3 )
From inequality(1):
x < -1 或 2 < x < 5
From inequality(2):
x < 2 或 x > 2
From inequality(3):
x < -1 或 x > -1
From inequalities (1) and (2)
x < -1 或 2 < x < 5 (4)
From inequalities (3) and (4)
x < -1 或 2 < x < 5 (5)
The final solution set is :
x < -1 或 2 < x < 5 Your problem has not been solved here? Please take a look at the hot problems !