current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 7500/(a+74.88)+10000/(a+62.4)+30000/(a+10.4)小于143 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
7500 / ( a + 74.88 ) + 10000 / ( a + 62.4 ) + 30000 / ( a + 10.4 ) <143 (1)
From the definition field of divisor
x + 74.88 ≠ 0 (2 )
From the definition field of divisor
x + 62.4 ≠ 0 (3 )
From the definition field of divisor
x + 10.4 ≠ 0 (4 )
From inequality(1):
a < -74.88 或 -70.786532 < a < -62.4 或 -47.585126 < a < -10.4
From inequality(2):
a < -1872/25 或 a > -1872/25
From inequality(3):
a < -312/5 或 a > -312/5
From inequality(4):
a < -52/5 或 a > -52/5
From inequalities (1) and (2)
a < -74.88 或 -70.786532 < a < -62.4 或 -47.585126 < a < -10.4 (5)
From inequalities (3) and (5)
a < -74.88 或 -70.786532 < a < -312/5 或 -47.585126 < a < -10.4 (6)
From inequalities (4) and (6)
a < -74.88 或 -70.786532 < a < -312/5 或 -47.585126 < a < -52/5 (7)
The final solution set is :
a < -74.88 或 -70.786532 < a < -312/5 或 -47.585126 < a < -52/5 Your problem has not been solved here? Please take a look at the hot problems !