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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 -sinx+ln((x^2+1)^0.5+x)+x-sin(3-2x)+ln(((3-2x)^2+1)^0.5+(3-2x))+3-2x <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-sin x + ln ( ( x ^ 2 + 1 ) ^ 0.5 + x ) + x - sin ( 3 - 2 * x ) + ln ( ( ( 3 - 2 * x ) ^ 2 + 1 ) ^ 0.5 + ( 3 - 2 * x ) ) + 3 - 2 * x <0 (1)
From the definition field of ln
( x ^ 2 + 1 ) ^ 0.5 + x > 0 (2 )
From the definition field of ln
( ( 3 - 2 * x ) ^ 2 + 1 ) ^ 0.5 + ( 3 - 2 * x ) > 0 (3 )
From inequality(1):
x > 3
From inequality(2):
x < -9411.73642 或 x > -9411.73642
From inequality(3):
x < 7014.24576 或 x > 7014.24576
From inequalities (1) and (2)
x > 3 (4)
From inequalities (3) and (4)
3 < x < 7014.24576 或 x > 7014.24576 (5)
The final solution set is :
3 < x < 7014.24576 或 x > 7014.24576Your problem has not been solved here? Please take a look at the hot problems !