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