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