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Assignment:Find the solution set of inequality (log(2,x)+1)/x ≤0.000125 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( log( 2 , x ) + 1 ) / x ≤0.000125 (1)
From the definition field of log
2 > 0 (2 )
x > 0 also ≠ 1 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
0 ≤ x ≤ 0.500022
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
0 < x < 1 或 x > 1
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
0 ≤ x ≤ 0.500022 (5)
From inequalities (3) and (5)
0 < x ≤ 0.500022 (6)
From inequalities (4) and (6)
0 < x ≤ 0.500022 (7)
The final solution set is :
0 < x ≤ 0.500022 Your problem has not been solved here? Please take a look at the hot problems !