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Assignment:Find the solution set of inequality 10000/X+2900/(X+21.4) ≤63.131313 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
10000 / X + 2900 / ( X + 21.4 ) ≤63.131313 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x + 21.4 ≠ 0 (3 )
From inequality(1):
X ≤ -21.4 或 -16.957804 ≤ X ≤ 0 或 X ≥ 199.893805
From inequality(2):
X < 0 或 X > 0
From inequality(3):
X < -107/5 或 X > -107/5
From inequalities (1) and (2)
X ≤ -21.4 或 -16.957804 ≤ X < 0 或 X ≥ 199.893805 (4)
From inequalities (3) and (4)
X < -107/5 或 -16.957804 ≤ X < 0 或 X ≥ 199.893805 (5)
The final solution set is :
X < -107/5 或 -16.957804 ≤ X < 0 或 X ≥ 199.893805Your problem has not been solved here? Please take a look at the hot problems !