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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 (4200/30)x+1800/(30—(x—30)) <3000/x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 4200 / 30 ) * x + 1800 / ( 30 - ( x - 30 ) ) <3000 / x (1)
From the definition field of divisor
30 - ( x - 30 ) ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
x < -4.72948 或 0 < x < 4.514689 或 60 < x < 60.214791
From inequality(2):
x < 60 或 x > 60
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
x < -4.72948 或 0 < x < 4.514689 或 60 < x < 60.214791 (4)
From inequalities (3) and (4)
x < -4.72948 或 0 < x < 4.514689 或 60 < x < 60.214791 (5)
The final solution set is :
x < -4.72948 或 0 < x < 4.514689 或 60 < x < 60.214791 Your problem has not been solved here? Please take a look at the hot problems !