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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality x ≥1,x+1/x+1/(x2+1) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x ≥1 , x + 1 / x + 1 / ( x * 2 + 1 ) (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x * 2 + 1 ≠ 0 (3 )
From inequality(1):
x ≥ 1
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -1/2 或 x > -1/2
From inequalities (1) and (2)
x ≥ 1 (4)
From inequalities (3) and (4)
x ≥ 1 (5)
The final solution set is :
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