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Assignment:Find the solution set of inequality 60/(x+20)+1+40/(x-20) <= 5 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
60 / ( x + 20 ) + 1 + 40 / ( x - 20 ) <= 5 (1)
From the definition field of divisor
x + 20 ≠ 0 (2 )
From the definition field of divisor
x - 20 ≠ 0 (3 )
From inequality(1):
x ≤ -20 或 -8.860009 ≤ x ≤ 20 或 x ≥ 33.860009
From inequality(2):
x < -20 或 x > -20
From inequality(3):
x < 20 或 x > 20
From inequalities (1) and (2)
x < -20 或 -8.860009 ≤ x ≤ 20 或 x ≥ 33.860009 (4)
From inequalities (3) and (4)
x < -20 或 -8.860009 ≤ x < 20 或 x ≥ 33.860009 (5)
The final solution set is :
x < -20 或 -8.860009 ≤ x < 20 或 x ≥ 33.860009Your problem has not been solved here? Please take a look at the hot problems !