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History of Inequality Computation > Answer
Overview: 2 questions will be solved this time.Among them
☆2 inequalities
[ 1/2Inequality]
Assignment:Find the solution set of inequality 10000/x+20000/(x+60) ≤10000/7, .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
10000 / x + 20000 / ( x + 60 ) ≤10000 / 7 , (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 -47.78869 ≤ x ≤ 0 或 x ≥ 8.78869
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -60 或 x > -60
From inequalities (1) and (2)
x ≤ -60 或 -47.78869 ≤ x < 0 或 x ≥ 8.78869 (4)
From inequalities (3) and (4)
x < -60 或 -47.78869 ≤ x < 0 或 x ≥ 8.78869 (5)
The final solution set is :
x < -60 或 -47.78869 ≤ x < 0 或 x ≥ 8.78869[ 2/2Inequality]
Assignment:Find the solution set of inequality 250-[10000/x+20000/(x+60)] ≥17500/x+20000/(x+60) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
250 - ( 10000 / x + 20000 / ( x + 60 ) ) ≥17500 / x + 20000 / ( x + 60 ) (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 the definition field of divisor
x + 60 ≠ 0 (5 )
From inequality(1):
x ≤ -60 或 -27.75918 ≤ x ≤ 0
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 inequality(5):
x < -60 或 x > -60
From inequalities (1) and (2)
x ≤ -60 或 -27.75918 ≤ x < 0 (6)
From inequalities (3) and (6)
x < -60 或 -27.75918 ≤ x < 0 (7)
From inequalities (4) and (7)
x < -60 或 -27.75918 ≤ x < 0 (8)
From inequalities (5) and (8)
x < -60 或 -27.75918 ≤ x < 0 (9)
The final solution set is :
x < -60 或 -27.75918 ≤ x < 0Your problem has not been solved here? Please take a look at the hot problems !