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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (20/u)/(1-100/(u^2)) <7 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 20 / u ) / ( 1 - 100 / ( u ^ 2 ) ) <7 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x ^ 2 ≠ 0 (3 )
From the definition field of divisor
1 - 100 / ( x ^ 2 ) ≠ 0 (4 )
From inequality(1):
u < -10 或 -8.672954 < u < 10 或 u > 11.530097
From inequality(2):
u < 0 或 u > 0
From inequality(3):
u < 0 或 u > 0
From inequality(4):
u < -10 或 -10 < u < 10 或 u > 10
From inequalities (1) and (2)
u < -10 或 -8.672954 < u < 0 或 0 < u < 10 或 u > 11.530097 (5)
From inequalities (3) and (5)
u < -10 或 -8.672954 < u < 0 或 0 < u < 0 或 0 < u < 10 或 u > 11.530097 (6)
From inequalities (4) and (6)
u < -10 或 -8.672954 < u < 0 或 0 < u < 0 或 0 < u < 10 或 u > 11.530097 (7)
The final solution set is :
u < -10 或 -8.672954 < u < 0 或 0 < u < 0 或 0 < u < 10 或 u > 11.530097Your problem has not been solved here? Please take a look at the hot problems !