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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (1-abs(x))/(1-abs(x-0.5)) >= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 - abs ( x ) ) / ( 1 - abs ( x - 0.5 ) ) >= 1 (1)
From the definition field of divisor
1 - abs ( x - 0.5 ) ≠ 0 (2 )
From inequality(1):
-0.5 ≤ x ≤ 1/4 或 x ≥ 1.5
From inequality(2):
x < -1/2 或 -1/2 < x < 3/2 或 x > 3/2
From inequalities (1) and (2)
-1/2 < x ≤ 1/4 或 x > 3/2 (3)
The final solution set is :
-1/2 < x ≤ 1/4 或 x > 3/2Your problem has not been solved here? Please take a look at the hot problems !