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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 0.5*(0.6*a^2-0.7/a) >(0.7/a+0.3*a^2)^1.5 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.5 * ( 0.6 * a ^ 2 - 0.7 / a ) > ( 0.7 / a + 0.3 * a ^ 2 ) ^ 1.5 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
a > -2.500386
From inequality(2):
a < 0 或 a > 0
From inequality(3):
a < 0 或 a > 0
From inequalities (1) and (2)
-2.500386 < a < 0 或 a > 0 (4)
From inequalities (3) and (4)
-2.500386 < a < 0 或 a > 0 (5)
The final solution set is :
-2.500386 < a < 0 或 a > 0Your problem has not been solved here? Please take a look at the hot problems !