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Assignment:Find the solution set of inequality 160 ≤400/(a-20) ≤240 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
160 ≤400 / ( a - 20 ) (1)
400 / ( a - 20 ) ≤240 (2)
From the definition field of divisor
x - 20 ≠ 0 (3 )
From inequality(1):
20 ≤ a ≤ 45/2
From inequality(2):
a ≤ 20 或 a ≥ 65/3
From inequality(3):
a < 20 或 a > 20
From inequalities (1) and (2)
20 ≤ a ≤ 20 或 65/3 ≤ a ≤ 45/2 (4)
From inequalities (3) and (4)
65/3 ≤ a ≤ 45/2 (5)
The final solution set is :
65/3 ≤ a ≤ 45/2Your problem has not been solved here? Please take a look at the hot problems !