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Assignment:Find the solution set of inequality 10000/x+10000/(x+4.8)*0+10000/(x+9.6)*2+10000/(x+14.4)*4 <= 350 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
10000 / x + 10000 / ( x + 4.8 ) * 0 + 10000 / ( x + 9.6 ) * 2 + 10000 / ( x + 14.4 ) * 4 <= 350 (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 the definition field of divisor
x + 14.4 ≠ 0 (5 )
From inequality(1):
x ≤ -14.4 或 -11.308659 ≤ x ≤ -9.6 或 -1.846446 ≤ x ≤ 0 或 x ≥ 189.155104
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 inequality(5):
x < -72/5 或 x > -72/5
From inequalities (1) and (2)
x ≤ -14.4 或 -11.308659 ≤ x ≤ -9.6 或 -1.846446 ≤ x < 0 或 x ≥ 189.155104 (6)
From inequalities (3) and (6)
x ≤ -14.4 或 -11.308659 ≤ x ≤ -9.6 或 -1.846446 ≤ x < 0 或 x ≥ 189.155104 (7)
From inequalities (4) and (7)
x ≤ -14.4 或 -11.308659 ≤ x < -48/5 或 -1.846446 ≤ x < 0 或 x ≥ 189.155104 (8)
From inequalities (5) and (8)
x < -72/5 或 -11.308659 ≤ x < -48/5 或 -1.846446 ≤ x < 0 或 x ≥ 189.155104 (9)
The final solution set is :
x < -72/5 或 -11.308659 ≤ x < -48/5 或 -1.846446 ≤ x < 0 或 x ≥ 189.155104Your problem has not been solved here? Please take a look at the hot problems !