Mister Exam

-4x inequation

A inequation with variable

The solution

You have entered [src]
-4*x > 0
$$- 4 x > 0$$
-4*x > 0
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:
-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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       x1
Solving inequality on a graph
Rapid solution 2 [src]
(-oo, 0)
$$x\ in\ \left(-\infty, 0\right)$$
x in Interval.open(-oo, 0)
Rapid solution [src]
And(-oo < x, x < 0)
$$-\infty < x \wedge x < 0$$
(-oo < x)∧(x < 0)