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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality ((35-3.289*(4.1077+lnx)-10-0.051*(3.289/x-0.1))*2*3.14*20*6.996*10^(-7)*8.64*10^4)/(3.4904285-lnx) >10 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( 35 - 3.289 * ( 4.1077 + ln x ) - 10 - 0.051 * ( 3.289 / x - 0.1 ) ) * 2 * 3.14 * 20 * 6.996 * 10 ^ ( -7 ) * 8.64 * 10 ^ 4 ) / ( 3.4904285 - ln x ) >10 (1)
From the definition field of ln
x > 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From the definition field of ln
x > 0 (4 )
From the definition field of divisor
3.4904285 - ln x ≠ 0 (5 )
From inequality(1):
x > 32.799999
From inequality(2):
x > 0
From inequality(3):
x < 0 或 x > 0
From inequality(4):
x > 0
From inequality(5):
x < 32.799999 或 x > 32.799999
From inequalities (1) and (2)
x > 32.799999 (6)
From inequalities (3) and (6)
x > 32.799999 (7)
From inequalities (4) and (7)
x > 32.799999 (8)
From inequalities (5) and (8)
x > 32.799999 (9)
The final solution set is :
x > 32.799999Your problem has not been solved here? Please take a look at the hot problems !