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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality ln(e((3,7^(-9))/x)-1) <1/x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln ( e ( ( 3 , 7 ^ ( -9 ) ) / x ) - 1 ) <1 / x (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of ln
e ( ( 3 , 7 ^ ( -9 ) ) / x ) - 1 > 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
x < -0.012408 或 x > 3.556193
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x > 0
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
x < -0.012408 或 x > 3.556193 (5)
From inequalities (3) and (5)
x > 3.556193 (6)
From inequalities (4) and (6)
x > 3.556193 (7)
The final solution set is :
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