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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/2 <-1/x <4（x ) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 3 inequalities：
1 / 2 < -1 / x (1)
-1 / x <4 * ( x ) (2)
From the definition field of divisor
x ≠ 0 (3 )
4 * ( x ) <0 (4)
From inequality(1)：
-2 < x < 0
From inequality(2)：
x ＞ 0
From inequality(3)：
x < 0 或 x ＞ 0
From inequality(4)：
x < 0
From inequalities (1) and (2)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (5)
From inequalities (3) and (5)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (6)
From inequalities (4) and (6)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (7)
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/2 <-1/x <4（x ) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 3 inequalities：
1 / 2 < -1 / x (1)
-1 / x <4 * ( x ) (2)
From the definition field of divisor
x ≠ 0 (3 )
4 * ( x ) <0 (4)
From inequality(1)：
-2 < x < 0
From inequality(2)：
x ＞ 0
From inequality(3)：
x < 0 或 x ＞ 0
From inequality(4)：
x < 0
From inequalities (1) and (2)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (5)
From inequalities (3) and (5)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (6)
From inequalities (4) and (6)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (7)
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!