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Assignment:Find the solution set of inequality 2x+5/(x^2+2x-35) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 * x + 5 / ( x ^ 2 + 2 * x - 35 ) ≥0 (1)
From the definition field of divisor
x ^ 2 + 2 * x - 35 ≠ 0 (2 )
From inequality(1):
-7.029564 ≤ x ≤ -7 或 0.071733 ≤ x ≤ 4.957831 或 x ≥ 5
From inequality(2):
x < -7 或 -7 < x < 5 或 x > 5
From inequalities (1) and (2)
-7.029564 ≤ x < -7 或 0.071733 ≤ x ≤ 4.957831 或 x > 5 (3)
The final solution set is :
-7.029564 ≤ x < -7 或 0.071733 ≤ x ≤ 4.957831 或 x > 5Your problem has not been solved here? Please take a look at the hot problems !