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-
How to use it?
- Inequation:
- x^2-2*x+12,5>0
- (x-1)sqrt(x^2-x-2)>=0
- 5^(1-x)>0,2
- 0,2^(x+1)<=1/25
- Derivative of:
-
-x
- Integral of d{x}:
-
-x
-
20
- Limit of the function:
-
-x
-
20
- Sum of series:
-
20
-
Identical expressions
- -x< twenty
- minus x less than 20
- minus x less than twenty
-
Similar expressions
- log^2(0.5*x)-4^log(0.5*x)+3>0
- x<20
-x<20 inequation
The solution
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:
Divide both parts of the equation by -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
$$- x < 20$$
$$- \frac{-201}{10} < 20$$
but
Then
$$x < -20$$
no execute
the solution of our inequality is:
$$x > -20$$
$$- x < 20$$
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