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Assignment:Find the solution set of inequality 1/(x+6) <2/(x-4) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / ( x + 6 ) <2 / ( x - 4 ) (1)
From the definition field of divisor
x + 6 ≠ 0 (2 )
From the definition field of divisor
x - 4 ≠ 0 (3 )
From inequality(1):
-16 < x < -6 或 x > 4
From inequality(2):
x < -6 或 x > -6
From inequality(3):
x < 4 或 x > 4
From inequalities (1) and (2)
-16 < x < -6 或 x > 4 (4)
From inequalities (3) and (4)
-16 < x < -6 或 x > 4 (5)
The final solution set is :
-16 < x < -6 或 x > 4Your problem has not been solved here? Please take a look at the hot problems !