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