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Assignment:Find the solution set of inequality 10000/x+10000/(x+115*0.3)+10000/(x+115*0.6) <150 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
10000 / x + 10000 / ( x + 115 * 0.3 ) + 10000 / ( x + 115 * 0.6 ) <150 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x + 115 * 0.3 ≠ 0 (3 )
From the definition field of divisor
x + 115 * 0.6 ≠ 0 (4 )
From inequality(1):
x < -69 或 -56.287625 < x < -34.5 或 -16.640923 < x < 0 或 x > 169.428548
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -69/2 或 x > -69/2
From inequality(4):
x < -69 或 x > -69
From inequalities (1) and (2)
x < -69 或 -56.287625 < x < -34.5 或 -16.640923 < x < 0 或 x > 169.428548 (5)
From inequalities (3) and (5)
x < -69 或 -56.287625 < x < -69/2 或 -16.640923 < x < 0 或 x > 169.428548 (6)
From inequalities (4) and (6)
x < -69 或 -56.287625 < x < -69/2 或 -16.640923 < x < 0 或 x > 169.428548 (7)
The final solution set is :
x < -69 或 -56.287625 < x < -69/2 或 -16.640923 < x < 0 或 x > 169.428548Your problem has not been solved here? Please take a look at the hot problems !