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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 3a-1+3/(a-1)-2ln((a-1)/3) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
3 * a - 1 + 3 / ( a - 1 ) - 2 * ln ( ( a - 1 ) / 3 ) >= 0 (1)
From the definition field of divisor
x - 1 ≠ 0 (2 )
From the definition field of ln
( x - 1 ) / 3 > 0 (3 )
From inequality(1):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
a < 1 或 a > 1
From inequality(3):
a > 1
From inequalities (1) and (2)
a < 1 或 a > 1 (4)
From inequalities (3) and (4)
a > 1 (5)
The final solution set is :
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