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