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[ 1/1Inequality]
Assignment:Find the solution set of inequality 2 <1/(3x-1) ≤3 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
2 <1 / ( 3 * x - 1 ) (1)
1 / ( 3 * x - 1 ) ≤3 (2)
From the definition field of divisor
3 * x - 1 ≠ 0 (3 )
From inequality(1):
0.333333 < x < 1/2
From inequality(2):
x ≤ 0.333333 或 x ≥ 4/9
From inequality(3):
x < 1/3 或 x > 1/3
From inequalities (1) and (2)
4/9 ≤ x < 1/2 (4)
From inequalities (3) and (4)
4/9 ≤ x < 1/2 (5)
The final solution set is :
4/9 ≤ x < 1/2Your problem has not been solved here? Please take a look at the hot problems !