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Assignment:Find the solution set of inequality (abs(x+5))/(abs(x-3)) ≤x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( abs ( x + 5 ) ) / ( abs ( x - 3 ) ) ≤ x (1)
From the definition field of divisor
abs ( x - 3 ) ≠ 0 (2 )
From inequality(1):
x ≥ 5
From inequality(2):
x < 3 或 x > 3
From inequalities (1) and (2)
x ≥ 5 (3)
The final solution set is :
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