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