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^2-16+8*x>=0
- 3^(log(x-1/x+2))>1/9
- asin(x)<=п/2
- (x^2-6*x)/(x^2+6*x+9)<0
- Graphing y =:
- 2x+5
- Derivative of:
-
2x+5
- Integral of d{x}:
-
2x+5
- -9
- Limit of the function:
-
-9
-
Identical expressions
- 2x+ five <- nine
- 2x plus 5 less than minus 9
- 2x plus five less than minus nine
-
Similar expressions
- 2x+5<+9
- 0,4^(6x+1)>=0,4^(2*x+5)
- ((x-2)(x-5)(x-8))/((x+2)(x+5)(x+8))>=-1
- 4^x+1-21*2^x+5>0
- 2x-5<-9
2x+5<-9 inequation
The solution
Detail solution
Given the inequality:
$$2 x + 5 < -9$$
To solve this inequality, we must first solve the corresponding equation:
$$2 x + 5 = -9$$
Solve:
Given the linear equation:
Move free summands (without x)
from left part to right part, we given:
$$2 x = -14$$
Divide both parts of the equation by 2
$$x_{1} = -7$$
$$x_{1} = -7$$
This roots
$$x_{1} = -7$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$-7 + - \frac{1}{10}$$
=
$$- \frac{71}{10}$$
substitute to the expression
$$2 x + 5 < -9$$
$$\frac{\left(-71\right) 2}{10} + 5 < -9$$
the solution of our inequality is:
$$x < -7$$
$$2 x + 5 < -9$$
To solve this inequality, we must first solve the corresponding equation:
$$2 x + 5 = -9$$
Solve:
Given the linear equation:
2*x+5 = -9
Move free summands (without x)
from left part to right part, we given:
$$2 x = -14$$
Divide both parts of the equation by 2
x = -14 / (2)
$$x_{1} = -7$$
$$x_{1} = -7$$
This roots
$$x_{1} = -7$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$-7 + - \frac{1}{10}$$
=
$$- \frac{71}{10}$$
substitute to the expression
$$2 x + 5 < -9$$
$$\frac{\left(-71\right) 2}{10} + 5 < -9$$
-46/5 < -9
the solution of our inequality is:
$$x < -7$$
_____
\
-------ο-------
x1
Solving inequality on a graph