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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 25π/(2×(5-4×x)×(5-4×x)×(1+24×x)) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
25 * π / ( 2 × ( 5 - 4 × x ) × ( 5 - 4 × x ) × ( 1 + 24 × x ) ) <1 (1)
From the definition field of divisor
2 × ( 5 - 4 × x ) × ( 5 - 4 × x ) × ( 1 + 24 × x ) ≠ 0 (2 )
From inequality(1):
x < -0.041667 或 0.026668 < x < 0.924692 或 x > 1.506974
From inequality(2):
x < -0.041667 或 -0.041667 < x < 5/4 或 x > 5/4
From inequalities (1) and (2)
x < -0.041667 或 0.026668 < x < 0.924692 或 x > 1.506974 (3)
The final solution set is :
x < -0.041667 或 0.026668 < x < 0.924692 或 x > 1.506974Your problem has not been solved here? Please take a look at the hot problems !