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☆1 inequalities
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Assignment:Find the solution set of inequality (139.8-1/(4*a))/(150*a-1/(600*a)) <= 0.5 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 139.8 - 1 / ( 4 * a ) ) / ( 150 * a - 1 / ( 600 * a ) ) <= 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):
a ≤ -0.003333 或 a ≥ 1.862216
From inequality(2):
a < 0 或 a > 0
From inequality(3):
a < 0 或 a > 0
From inequality(4):
a < 1/300 或 a > 1/300
From inequalities (1) and (2)
a ≤ -0.003333 或 a ≥ 1.862216 (5)
From inequalities (3) and (5)
a ≤ -0.003333 或 a ≥ 1.862216 (6)
From inequalities (4) and (6)
a ≤ -0.003333 或 a ≥ 1.862216 (7)
The final solution set is :
a ≤ -0.003333 或 a ≥ 1.862216Your problem has not been solved here? Please take a look at the hot problems !