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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (99.5-0.99n)/(0.0995n^0.5) ≤-1.645 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 99.5 - 0.99 * n ) / ( 0.0995 * n ^ 0.5 ) ≤ -1.645 (1)
From the definition field of divisor
0.0995 * x ^ 0.5 ≠ 0 (2 )
From inequality(1):
n ≥ 102.176252
From inequality(2):
n ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
n ≥ 102.176252 (3)
The final solution set is :
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