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