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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (1+(1-(1-a)^8)*(46*a+12)/(2+5*a)) <9-8*(1-a)^8 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 + ( 1 - ( 1 - a ) ^ 8 ) * ( 46 * a + 12 ) / ( 2 + 5 * a ) ) <9 - 8 * ( 1 - a ) ^ 8 (1)
From the definition field of divisor
2 + 5 * x ≠ 0 (2 )
From inequality(1):
a < -0.4 或 0 < a < 2/3 或 a > 2
From inequality(2):
a < -2/5 或 a > -2/5
From inequalities (1) and (2)
a < -0.4 或 0 < a < 2/3 或 a > 2 (3)
The final solution set is :
a < -0.4 或 0 < a < 2/3 或 a > 2Your problem has not been solved here? Please take a look at the hot problems !