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History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality a-1/a
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
a - 1 / a < a ^ 2 - 1 / ( a ^ 2 ) (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x ^ 2 ≠ 0 (3 )
From inequality(1):
a < -1 或 -1 < a < 1 或 a > 1
From inequality(2):
a < 0 或 a > 0
From inequality(3):
a < 0 或 a > 0
From inequalities (1) and (2)
a < -1 或 -1 < a < 0 或 0 < a < 1 或 a > 1 (4)
From inequalities (3) and (4)
a < -1 或 -1 < a < 0 或 0 < a < 0 或 0 < a < 1 或 a > 1 (5)
The final solution set is :
a < -1 或 -1 < a < 0 或 0 < a < 0 或 0 < a < 1 或 a > 1Your problem has not been solved here? Please take a look at the hot problems !