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Assignment:Find the solution set of inequality 2x/(x-7)(x+4) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 * x / ( x - 7 ) * ( x + 4 ) ≥0 (1)
From the definition field of divisor
x - 7 ≠ 0 (2 )
From inequality(1):
-4 ≤ x ≤ 0 或 x ≥ 7
From inequality(2):
x < 7 或 x > 7
From inequalities (1) and (2)
-4 ≤ x ≤ 0 或 x > 7 (3)
The final solution set is :
-4 ≤ x ≤ 0 或 x > 7Your problem has not been solved here? Please take a look at the hot problems !