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☆1 inequalities
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Assignment:Find the solution set of inequality k-4+log(10,(k-4)/111) ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
k - 4 + log( 10 , ( k - 4 ) / 111 ) ≤0 (1)
From the definition field of log
10 > 0 (2 )
( x - 4 ) / 111 > 0 also ≠ 1 (3 )
From inequality(1):
k ≤ 5.791988
From inequality(2):
k ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
4 < k < 115 或 k > 115
From inequalities (1) and (2)
k ≤ 5.791988 (4)
From inequalities (3) and (4)
4 < k ≤ 5.791988 (5)
The final solution set is :
4 < k ≤ 5.791988 Your problem has not been solved here? Please take a look at the hot problems !