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Assignment:Find the solution set of inequality 10000/x+10000/(x+60) ≤10000/70 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
10000 / x + 10000 / ( x + 60 ) ≤10000 / 70 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x + 60 ≠ 0 (3 )
From inequality(1):
x ≤ -60 或 -36.157731 ≤ x ≤ 0 或 x ≥ 116.157731
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -60 或 x > -60
From inequalities (1) and (2)
x ≤ -60 或 -36.157731 ≤ x < 0 或 x ≥ 116.157731 (4)
From inequalities (3) and (4)
x < -60 或 -36.157731 ≤ x < 0 或 x ≥ 116.157731 (5)
The final solution set is :
x < -60 或 -36.157731 ≤ x < 0 或 x ≥ 116.157731Your problem has not been solved here? Please take a look at the hot problems !