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Assignment:Find the solution set of inequality 250-[10000/x+20000/(x+60)] ≥17500/x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
250 - ( 10000 / x + 20000 / ( x + 60 ) ) ≥17500 / x (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x + 60 ≠ 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
x ≤ -60 或 -39.04326 ≤ x ≤ 0 或 x ≥ 169.04326
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -60 或 x > -60
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
x ≤ -60 或 -39.04326 ≤ x < 0 或 x ≥ 169.04326 (5)
From inequalities (3) and (5)
x < -60 或 -39.04326 ≤ x < 0 或 x ≥ 169.04326 (6)
From inequalities (4) and (6)
x < -60 或 -39.04326 ≤ x < 0 或 x ≥ 169.04326 (7)
The final solution set is :
x < -60 或 -39.04326 ≤ x < 0 或 x ≥ 169.04326Your problem has not been solved here? Please take a look at the hot problems !