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☆1 inequalities
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Assignment:Find the solution set of inequality (6x-1)/(2x+7)+22/(x+5) >3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 6 * x - 1 ) / ( 2 * x + 7 ) + 22 / ( x + 5 ) >3 (1)
From the definition field of divisor
2 * x + 7 ≠ 0 (2 )
From the definition field of divisor
x + 5 ≠ 0 (3 )
From inequality(1):
-5 < x < -3.5 或 x > -2
From inequality(2):
x < -7/2 或 x > -7/2
From inequality(3):
x < -5 或 x > -5
From inequalities (1) and (2)
-5 < x < -3.5 或 x > -2 (4)
From inequalities (3) and (4)
-5 < x < -3.5 或 x > -2 (5)
The final solution set is :
-5 < x < -3.5 或 x > -2Your problem has not been solved here? Please take a look at the hot problems !