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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (139.8-1/(4*x))/(150*x-(1/(600*x))) >= -0.5 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 139.8 - 1 / ( 4 * x ) ) / ( 150 * x - ( 1 / ( 600 * x ) ) ) >= -0.5 (1)
From the definition field of divisor
4 * x ≠ 0 (2 )
From the definition field of divisor
600 * x ≠ 0 (3 )
From the definition field of divisor
150 * x - ( 1 / ( 600 * x ) ) ≠ 0 (4 )
From inequality(1):
x ≤ -1.865793 或 x ≥ -0.003333
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < 0 或 x > 0
From inequality(4):
x < 1/300 或 x > 1/300
From inequalities (1) and (2)
x ≤ -1.865793 或 -0.003333 ≤ x < 0 或 x > 0 (5)
From inequalities (3) and (5)
x ≤ -1.865793 或 -0.003333 ≤ x < 0 或 x > 0 (6)
From inequalities (4) and (6)
x ≤ -1.865793 或 -0.003333 ≤ x < 0 或 0 < x < 1/300 或 x > 1/300 (7)
The final solution set is :
x ≤ -1.865793 或 -0.003333 ≤ x < 0 或 0 < x < 1/300 或 x > 1/300Your problem has not been solved here? Please take a look at the hot problems !