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