Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- 4x²-4x+15≤0
- (7x-4)/(x+2)>=1
- 5*x-1/8>x+2/6
- x/3<=1
- Derivative of:
-
x/3
- Graphing y =:
- x/3
- Integral of d{x}:
-
x/3
-
Identical expressions
- x/ three <= one
- x divide by 3 less than or equal to 1
- x divide by three less than or equal to one
- x divide by 3<=1
-
Similar expressions
- (12+32*sqrt3^x)/(3^(x/2)-3)+(-2-3^(x+2)/2)>=0
- log(16)*(18-2^x)*log(4)((18-2^x)/32)>(-1/2)
- 10-(2-x)/(3*x+1)>0
x/3<=1 inequation
The solution
Detail solution
Given the inequality:
$$\frac{x}{3} \leq 1$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{x}{3} = 1$$
Solve:
Given the linear equation:
Divide both parts of the equation by 1/3
$$x_{1} = 3$$
$$x_{1} = 3$$
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:
$$x_{0} \leq x_{1}$$
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
$$\frac{x}{3} \leq 1$$
$$\frac{29}{3 \cdot 10} \leq 1$$
the solution of our inequality is:
$$x \leq 3$$
$$\frac{x}{3} \leq 1$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{x}{3} = 1$$
Solve:
Given the linear equation:
x/3 = 1
Divide both parts of the equation by 1/3
x = 1 / (1/3)
$$x_{1} = 3$$
$$x_{1} = 3$$
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:
$$x_{0} \leq x_{1}$$
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
$$\frac{x}{3} \leq 1$$
$$\frac{29}{3 \cdot 10} \leq 1$$
29 -- <= 1 30
the solution of our inequality is:
$$x \leq 3$$
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x1
Solving inequality on a graph