Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- 7x<-3
- 3^x>7*2^x
- (x+2)/5>=2*x/4
- 1/4x^2>0
- Integral of d{x}:
-
-4x
- Derivative of:
-
-4x
- Canonical form:
- -4x
-
Identical expressions
- -4x
- minus 4x
-
Similar expressions
- (√14-4)x˂30-8√14
- ((9-5x)/2)-(4x/3)<x-((3x-1)/6)
- 5-4*(x-2)<22x
- (x-4)x+5/x+2>0
- 4x
-4x inequation
The solution
Detail solution
Given the inequality:
$$- 4 x > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$- 4 x = 0$$
Solve:
Given the linear equation:
Divide both parts of the equation by -4
$$x_{1} = 0$$
$$x_{1} = 0$$
This roots
$$x_{1} = 0$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10}$$
=
$$- \frac{1}{10}$$
substitute to the expression
$$- 4 x > 0$$
$$- \frac{\left(-1\right) 4}{10} > 0$$
the solution of our inequality is:
$$x < 0$$
$$- 4 x > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$- 4 x = 0$$
Solve:
Given the linear equation:
-4*x = 0
Divide both parts of the equation by -4
x = 0 / (-4)
$$x_{1} = 0$$
$$x_{1} = 0$$
This roots
$$x_{1} = 0$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10}$$
=
$$- \frac{1}{10}$$
substitute to the expression
$$- 4 x > 0$$
$$- \frac{\left(-1\right) 4}{10} > 0$$
2/5 > 0
the solution of our inequality is:
$$x < 0$$
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Solving inequality on a graph