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