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Assignment:Find the solution set of inequality 6000/x+10000/(x+22.4)+10000/x <150 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
6000 / x + 10000 / ( x + 22.4 ) + 10000 / x <150 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x + 22.4 ≠ 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
x < -22.4 或 -14.447465 < x < 0 或 x > 165.380799
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -112/5 或 x > -112/5
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
x < -22.4 或 -14.447465 < x < 0 或 x > 165.380799 (5)
From inequalities (3) and (5)
x < -112/5 或 -14.447465 < x < 0 或 x > 165.380799 (6)
From inequalities (4) and (6)
x < -112/5 或 -14.447465 < x < 0 或 x > 165.380799 (7)
The final solution set is :
x < -112/5 或 -14.447465 < x < 0 或 x > 165.380799Your problem has not been solved here? Please take a look at the hot problems !