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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 (86400)*((10+3.2891*ln((3.2891/lamadaH)/0.1))-10-0.051*((3.2891/lamadaH)-0.1))*(0.000087914/(ln((((25)/ln(2000))/lamadaH)/0.1))) >= 10 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 86400 ) * ( ( 10 + 3.2891 * ln ( ( 3.2891 / lamadaH ) / 0.1 ) ) - 10 - 0.051 * ( ( 3.2891 / lamadaH ) - 0.1 ) ) * ( 0.000087914 / ( ln ( ( ( ( 25 ) / ln ( 2000 ) ) / lamadaH ) / 0.1 ) ) ) >= 10 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of ln
( 3.2891 / x ) / 0.1 > 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From the definition field of ln
( ( ( 25 ) / ln ( 2000 ) ) / x ) / 0.1 > 0 (5 )
From the definition field of divisor
ln ( ( ( ( 25 ) / ln ( 2000 ) ) / x ) / 0.1 ) ≠ 0 (6 )
From inequality(1):
lamadaH ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
lamadaH < 0 或 lamadaH > 0
From inequality(3):
lamadaH > 0
From inequality(4):
lamadaH < 0 或 lamadaH > 0
From inequality(5):
lamadaH > 0
From inequality(6):
lamadaH < 0 或 0 < lamadaH < 32.890831 或 lamadaH > 32.890831
From inequalities (1) and (2)
lamadaH < 0 或 lamadaH > 0 (7)
From inequalities (3) and (7)
lamadaH > 0 (8)
From inequalities (4) and (8)
lamadaH > 0 (9)
From inequalities (5) and (9)
lamadaH > 0 (10)
From inequalities (6) and (10)
0 < lamadaH < 32.890831 或 lamadaH > 32.890831 (11)
The final solution set is :
0 < lamadaH < 32.890831 或 lamadaH > 32.890831Your problem has not been solved here? Please take a look at the hot problems !