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Assignment:Find the solution set of inequality 10000/x+10000/(x+4.8)+10000/(x+9.6)*3 <= 250 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
10000 / x + 10000 / ( x + 4.8 ) + 10000 / ( x + 9.6 ) * 3 <= 250 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x + 4.8 ≠ 0 (3 )
From the definition field of divisor
x + 9.6 ≠ 0 (4 )
From inequality(1):
x ≤ -9.6 或 -6.223093 ≤ x ≤ -4.8 或 -1.531831 ≤ x ≤ 0 或 x ≥ 193.354924
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -24/5 或 x > -24/5
From inequality(4):
x < -48/5 或 x > -48/5
From inequalities (1) and (2)
x ≤ -9.6 或 -6.223093 ≤ x ≤ -4.8 或 -1.531831 ≤ x < 0 或 x ≥ 193.354924 (5)
From inequalities (3) and (5)
x ≤ -9.6 或 -6.223093 ≤ x < -24/5 或 -1.531831 ≤ x < 0 或 x ≥ 193.354924 (6)
From inequalities (4) and (6)
x < -48/5 或 -6.223093 ≤ x < -24/5 或 -1.531831 ≤ x < 0 或 x ≥ 193.354924 (7)
The final solution set is :
x < -48/5 或 -6.223093 ≤ x < -24/5 或 -1.531831 ≤ x < 0 或 x ≥ 193.354924Your problem has not been solved here? Please take a look at the hot problems !