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Assignment:Find the solution set of inequality 2 ≤4.5*(x/(x+5)) ≤3 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
2 ≤4.5 * ( x / ( x + 5 ) ) (1)
4.5 * ( x / ( x + 5 ) ) ≤3 (2)
From the definition field of divisor
x + 5 ≠ 0 (3 )
From inequality(1):
x ≤ -5 或 x ≥ 4
From inequality(2):
-5 ≤ x ≤ 10
From inequality(3):
x < -5 或 x > -5
From inequalities (1) and (2)
-5 ≤ x ≤ -5 或 4 ≤ x ≤ 10 (4)
From inequalities (3) and (4)
4 ≤ x ≤ 10 (5)
The final solution set is :
4 ≤ x ≤ 10Your problem has not been solved here? Please take a look at the hot problems !