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Assignment:Find the solution set of inequality 7125/((7000/X+5)/[(1445.043+13350/X/95%)]) ≤4.5 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
7125 / ( ( 7000 / X + 5 ) / ( ( 1445.043 + 13350 / X / 95 % ) ) ) ≤4.5 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From the definition field of divisor
( 1445.043 + 13350 / x / 95 % ) ≠ 0 (4 )
From the definition field of divisor
( 7000 / x + 5 ) / ( ( 1445.043 + 13350 / x / 95 % ) ) ≠ 0 (5 )
From inequality(1):
X ≤ 0.002087
From inequality(2):
X < 0 或 X > 0
From inequality(3):
X < 0 或 X > 0
From inequality(4):
X ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequality(5):
X < -0.000972 或 X > -0.000972
From inequalities (1) and (2)
X < 0 或 0 < X ≤ 0.002087 (6)
From inequalities (3) and (6)
X < 0 或 0 < X ≤ 0.002087 (7)
From inequalities (4) and (7)
X < 0 或 0 < X ≤ 0.002087 (8)
From inequalities (5) and (8)
X < -0.000972 或 -0.000972 < X < 0 或 0 < X ≤ 0.002087 (9)
The final solution set is :
X < -0.000972 或 -0.000972 < X < 0 或 0 < X ≤ 0.002087 Your problem has not been solved here? Please take a look at the hot problems !