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[ 1/1Inequality]
Assignment:Find the solution set of inequality 2/(x^2-4x+3) ≤5/(x^2-9) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 / ( x ^ 2 - 4 * x + 3 ) ≤5 / ( x ^ 2 - 9 ) (1)
From the definition field of divisor
x ^ 2 - 4 * x + 3 ≠ 0 (2 )
From the definition field of divisor
x ^ 2 - 9 ≠ 0 (3 )
From inequality(1):
x ≤ -3 或 1 ≤ x ≤ 3 或 x ≥ 11/3
From inequality(2):
x < 1 或 1 < x < 3 或 x > 3
From inequality(3):
x < -3 或 -3 < x < 3 或 x > 3
From inequalities (1) and (2)
x ≤ -3 或 1 < x < 3 或 x ≥ 11/3 (4)
From inequalities (3) and (4)
x < -3 或 1 < x < 3 或 x ≥ 11/3 (5)
The final solution set is :
x < -3 或 1 < x < 3 或 x ≥ 11/3Your problem has not been solved here? Please take a look at the hot problems !