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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (4(2x+5)-x^2)/(8x+20) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 4 * ( 2 * x + 5 ) - x ^ 2 ) / ( 8 * x + 20 ) >0 (1)
From the definition field of divisor
8 * x + 20 ≠ 0 (2 )
From inequality(1):
x < -2.5 或 -2 < x < 10
From inequality(2):
x < -5/2 或 x > -5/2
From inequalities (1) and (2)
x < -2.5 或 -2 < x < 10 (3)
The final solution set is :
x < -2.5 或 -2 < x < 10 Your problem has not been solved here? Please take a look at the hot problems !