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 -1+(x-7)/(x^2+3) <1/x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-1 + ( x - 7 ) / ( x ^ 2 + 3 ) <1 / x (1)
From the definition field of divisor
x ^ 2 + 3 ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
x < -0.29737 或 x > 0
From inequality(2):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
x < -0.29737 或 x > 0 (4)
From inequalities (3) and (4)
x < -0.29737 或 x > 0 (5)
The final solution set is :
x < -0.29737 或 x > 0Your problem has not been solved here? Please take a look at the hot problems !