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