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☆1 inequalities
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Assignment:Find the solution set of inequality 2.5x*x*x/(4-x*x)+x*x+1.5x+1 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2.5 * x * x * x / ( 4 - x * x ) + x * x + 1.5 * x + 1 >0 (1)
From the definition field of divisor
4 - x * x ≠ 0 (2 )
From inequality(1):
x < -2 或 -0.837467 < x < 2 或 x > 2.905918
From inequality(2):
x < -2 或 -2 < x < 2 或 x > 2
From inequalities (1) and (2)
x < -2 或 -0.837467 < x < 2 或 x > 2.905918 (3)
The final solution set is :
x < -2 或 -0.837467 < x < 2 或 x > 2.905918Your problem has not been solved here? Please take a look at the hot problems !