Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- 13*x^1<=0
- x+4>5*x
- (1/3)^(x/2)>9
- log(3.3)*3*(1-(7/5)*x)<1
- Integral of d{x}:
- 4*x+3
-
-8
- Derivative of:
-
4*x+3
- Sum of series:
-
-8
- Limit of the function:
- -8
-
Identical expressions
- four *x+ three >- eight
- 4 multiply by x plus 3 greater than minus 8
- four multiply by x plus three greater than minus eight
- 4x+3>-8
-
Similar expressions
- 4*x-3>-8
- (2-x)*(4x+3)/(x-3)^3*(x+1)^2<=0
- |4x+3|>2x-1
- 4*x+3>+8
4*x+3>-8 inequation
The solution
Detail solution
Given the inequality:
$$4 x + 3 > -8$$
To solve this inequality, we must first solve the corresponding equation:
$$4 x + 3 = -8$$
Solve:
Given the linear equation:
Move free summands (without x)
from left part to right part, we given:
$$4 x = -11$$
Divide both parts of the equation by 4
$$x_{1} = - \frac{11}{4}$$
$$x_{1} = - \frac{11}{4}$$
This roots
$$x_{1} = - \frac{11}{4}$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{11}{4} + - \frac{1}{10}$$
=
$$- \frac{57}{20}$$
substitute to the expression
$$4 x + 3 > -8$$
$$\frac{\left(-57\right) 4}{20} + 3 > -8$$
Then
$$x < - \frac{11}{4}$$
no execute
the solution of our inequality is:
$$x > - \frac{11}{4}$$
$$4 x + 3 > -8$$
To solve this inequality, we must first solve the corresponding equation:
$$4 x + 3 = -8$$
Solve:
Given the linear equation:
4*x+3 = -8
Move free summands (without x)
from left part to right part, we given:
$$4 x = -11$$
Divide both parts of the equation by 4
x = -11 / (4)
$$x_{1} = - \frac{11}{4}$$
$$x_{1} = - \frac{11}{4}$$
This roots
$$x_{1} = - \frac{11}{4}$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{11}{4} + - \frac{1}{10}$$
=
$$- \frac{57}{20}$$
substitute to the expression
$$4 x + 3 > -8$$
$$\frac{\left(-57\right) 4}{20} + 3 > -8$$
-42/5 > -8
Then
$$x < - \frac{11}{4}$$
no execute
the solution of our inequality is:
$$x > - \frac{11}{4}$$
_____
/
-------ο-------
x1
Solving inequality on a graph
Rapid solution
[src]
And(-11/4 < x, x < oo)
$$- \frac{11}{4} < x \wedge x < \infty$$
(-11/4 < x)∧(x < oo)
Rapid solution 2
[src]
(-11/4, oo)
$$x\ in\ \left(- \frac{11}{4}, \infty\right)$$
x in Interval.open(-11/4, oo)