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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 0.7*(0.6*a^2-0.7/a)/2/(0.7/a+0.3*a^2) >0.49*(0.7/a+0.3*a^2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.7 * ( 0.6 * a ^ 2 - 0.7 / a ) / 2 / ( 0.7 / a + 0.3 * a ^ 2 ) >0.49 * ( 0.7 / a + 0.3 * a ^ 2 ) (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From the definition field of divisor
0.7 / x + 0.3 * x ^ 2 ≠ 0 (4 )
From the definition field of divisor
x ≠ 0 (5 )
From inequality(1):
-2.598966 < a < -1.326352 或 -0.635846 < a < 0
From inequality(2):
a < 0 或 a > 0
From inequality(3):
a < 0 或 a > 0
From inequality(4):
a < -1.326352 或 -1.326352 < a < 0 或 a > 0
From inequality(5):
a < 0 或 a > 0
From inequalities (1) and (2)
-2.598966 < a < -1.326352 或 -0.635846 < a < 0 (6)
From inequalities (3) and (6)
-2.598966 < a < -1.326352 或 -0.635846 < a < 0 (7)
From inequalities (4) and (7)
-2.598966 < a < -1.326352 或 -0.635846 < a < 0 (8)
From inequalities (5) and (8)
-2.598966 < a < -1.326352 或 -0.635846 < a < 0 (9)
The final solution set is :
-2.598966 < a < -1.326352 或 -0.635846 < a < 0 Your problem has not been solved here? Please take a look at the hot problems !