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-x<20 inequation

A inequation with variable

The solution

You have entered [src]
-x < 20
$$- x < 20$$
-x < 20
Detail solution
Given the inequality:
$$- x < 20$$
To solve this inequality, we must first solve the corresponding equation:
$$- x = 20$$
Solve:
Given the linear equation:
-x = 20

Divide both parts of the equation by -1
x = 20 / (-1)

$$x_{1} = -20$$
$$x_{1} = -20$$
This roots
$$x_{1} = -20$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$-20 + - \frac{1}{10}$$
=
$$- \frac{201}{10}$$
substitute to the expression
$$- x < 20$$
$$- \frac{-201}{10} < 20$$
201     
--- < 20
 10     

but
201     
--- > 20
 10     

Then
$$x < -20$$
no execute
the solution of our inequality is:
$$x > -20$$
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Solving inequality on a graph
Rapid solution 2 [src]
(-20, oo)
$$x\ in\ \left(-20, \infty\right)$$
x in Interval.open(-20, oo)
Rapid solution [src]
And(-20 < x, x < oo)
$$-20 < x \wedge x < \infty$$
(-20 < x)∧(x < oo)