Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- |x^2-2x|+|x+1|>5
- |x+2|*3-x/-x-1<=0
- (1/5)^(x-1)-(1/5)^x<=100
- (4+x)/(4-x)<3
- Graphing y =:
- 5-6x
- Derivative of:
- 5-6x
- Sum of series:
-
-13
-
Identical expressions
- five -6x>- thirteen
- 5 minus 6x greater than minus 13
- five minus 6x greater than minus thirteen
-
Similar expressions
- (1-2*x/5)^((-6)*x^2+11*x+7)>=1
- 11-4*x>5-6*x
- (-x-1)/(x-1)^3>0
- 5+6x>-13
- 5-6x>+13
- 3*x-7/6>=(5-6*x)/4
5-6x>-13 inequation
The solution
Detail solution
Given the inequality:
$$5 - 6 x > -13$$
To solve this inequality, we must first solve the corresponding equation:
$$5 - 6 x = -13$$
Solve:
Given the linear equation:
Move free summands (without x)
from left part to right part, we given:
$$- 6 x = -18$$
Divide both parts of the equation by -6
$$x_{1} = 3$$
$$x_{1} = 3$$
This roots
$$x_{1} = 3$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 3$$
=
$$\frac{29}{10}$$
substitute to the expression
$$5 - 6 x > -13$$
$$5 - \frac{6 \cdot 29}{10} > -13$$
the solution of our inequality is:
$$x < 3$$
$$5 - 6 x > -13$$
To solve this inequality, we must first solve the corresponding equation:
$$5 - 6 x = -13$$
Solve:
Given the linear equation:
5-6*x = -13
Move free summands (without x)
from left part to right part, we given:
$$- 6 x = -18$$
Divide both parts of the equation by -6
x = -18 / (-6)
$$x_{1} = 3$$
$$x_{1} = 3$$
This roots
$$x_{1} = 3$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 3$$
=
$$\frac{29}{10}$$
substitute to the expression
$$5 - 6 x > -13$$
$$5 - \frac{6 \cdot 29}{10} > -13$$
-62/5 > -13
the solution of our inequality is:
$$x < 3$$
_____
\
-------ο-------
x1
Solving inequality on a graph