current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 0 <1/9+1/(9*x^(2/3)) <1/2 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 <1 / 9 + 1 / ( 9 * x ^ ( 2 / 3 ) ) (1)
1 / 9 + 1 / ( 9 * x ^ ( 2 / 3 ) ) <1 / 2 (2)
From the definition field of divisor
9 * x ^ ( 2 / 3 ) ≠ 0 (3 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x > 0.152721
From inequality(3):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
x > 0.152721 (4)
From inequalities (3) and (4)
x > 0.152721 (5)
The final solution set is :
x > 0.152721Your problem has not been solved here? Please take a look at the hot problems !