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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 20lg(1/x) >100 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
20 * lg ( 1 / x ) >100 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of lg
1 / x > 0 (3 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x > 0
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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