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