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