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☆1 inequalities
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Assignment:Find the solution set of inequality -57177.33+24723/(1+x)+25023/(1+x)^-2+25323/(1+x)^-3 <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-57177.33 + 24723 / ( 1 + x ) + 25023 / ( 1 + x ) ^ -2 + 25323 / ( 1 + x ) ^ -3 <0 (1)
From the definition field of divisor
1 + x ≠ 0 (2 )
From the definition field of divisor
1 + x ≠ 0 (3 )
From the definition field of divisor
1 + x ≠ 0 (4 )
From inequality(1):
x < -1 或 -0.463027 < x < -0.266013
From inequality(2):
x < -1 或 x > -1
From inequality(3):
x < -1 或 x > -1
From inequality(4):
x < -1 或 x > -1
From inequalities (1) and (2)
x < -1 或 -0.463027 < x < -0.266013 (5)
From inequalities (3) and (5)
x < -1 或 -0.463027 < x < -0.266013 (6)
From inequalities (4) and (6)
x < -1 或 -0.463027 < x < -0.266013 (7)
The final solution set is :
x < -1 或 -0.463027 < x < -0.266013 Your problem has not been solved here? Please take a look at the hot problems !