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 ((2x)/(x-4))+((7)/(x)) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( 2 * x ) / ( x - 4 ) ) + ( ( 7 ) / ( x ) ) >0 (1)
From the definition field of divisor
x - 4 ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
x < -5.880678 或 0 < x < 2.380678 或 x > 4
From inequality(2):
x < 4 或 x > 4
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
x < -5.880678 或 0 < x < 2.380678 或 x > 4 (4)
From inequalities (3) and (4)
x < -5.880678 或 0 < x < 2.380678 或 x > 4 (5)
The final solution set is :
x < -5.880678 或 0 < x < 2.380678 或 x > 4Your problem has not been solved here? Please take a look at the hot problems !