Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- 3x<-3
- 3x²+2x-5<=0
-
sinx/6>(√3)/2
-
-21/(x+6)^2-10>0
- Integral of d{x}:
-
3x
-
-3
- Graphing y =:
- 3x
- Derivative of:
-
3x
-
-3
- Sum of series:
-
-3
-
Identical expressions
- three x<-3
- 3x less than minus 3
- three x less than minus 3
-
Similar expressions
- 3*45^x-3*27^x-28*15^x+28*9*x+9*5^x-3^x*9<0
- 3x<+3
- log3^2(x^2-16)-5*log3(x^2-16)+6>=0
3x<-3 inequation
The solution
Detail solution
Given the inequality:
$$3 x < -3$$
To solve this inequality, we must first solve the corresponding equation:
$$3 x = -3$$
Solve:
Given the linear equation:
Divide both parts of the equation by 3
$$x_{1} = -1$$
$$x_{1} = -1$$
This roots
$$x_{1} = -1$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$-1 + - \frac{1}{10}$$
=
$$- \frac{11}{10}$$
substitute to the expression
$$3 x < -3$$
$$\frac{\left(-11\right) 3}{10} < -3$$
the solution of our inequality is:
$$x < -1$$
$$3 x < -3$$
To solve this inequality, we must first solve the corresponding equation:
$$3 x = -3$$
Solve:
Given the linear equation:
3*x = -3
Divide both parts of the equation by 3
x = -3 / (3)
$$x_{1} = -1$$
$$x_{1} = -1$$
This roots
$$x_{1} = -1$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$-1 + - \frac{1}{10}$$
=
$$- \frac{11}{10}$$
substitute to the expression
$$3 x < -3$$
$$\frac{\left(-11\right) 3}{10} < -3$$
-33 ---- < -3 10
the solution of our inequality is:
$$x < -1$$
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x1
Solving inequality on a graph