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Other calculators
- Square Inequality Step-by-Step
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-
How to use it?
- Inequation:
- y>/x+1
- 5^(1-x)>0,2
- logsqrt3x<=2
- (|x|)+(|x-3|)>=3
- Graphing y =:
- 2x-6
- Derivative of:
- 2x-6
- 14
- Sum of series:
- 2x-6
-
14
- Integral of d{x}:
-
14
-
Identical expressions
- 2x- six > fourteen
- 2x minus 6 greater than 14
- 2x minus six greater than fourteen
-
Similar expressions
- 2x+6>14
- 2*x-6<log(1)/7*x
- 3*x*(5+12*x)-(6*x-1)*(6*x+1)>10*x
- (3-2sqrt(2))^(2x)-6(1/(3+2sqrt(2)))^(x)<=0
- 2^x-6-(9*2^x-37)*1/(2^(2*x)-7*2^x+12)<=1/(2^x-4)
2x-6>14 inequation
The solution
Detail solution
Given the inequality:
$$2 x - 6 > 14$$
To solve this inequality, we must first solve the corresponding equation:
$$2 x - 6 = 14$$
Solve:
Given the linear equation:
Move free summands (without x)
from left part to right part, we given:
$$2 x = 20$$
Divide both parts of the equation by 2
$$x_{1} = 10$$
$$x_{1} = 10$$
This roots
$$x_{1} = 10$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 10$$
=
$$\frac{99}{10}$$
substitute to the expression
$$2 x - 6 > 14$$
$$-6 + \frac{2 \cdot 99}{10} > 14$$
Then
$$x < 10$$
no execute
the solution of our inequality is:
$$x > 10$$
$$2 x - 6 > 14$$
To solve this inequality, we must first solve the corresponding equation:
$$2 x - 6 = 14$$
Solve:
Given the linear equation:
2*x-6 = 14
Move free summands (without x)
from left part to right part, we given:
$$2 x = 20$$
Divide both parts of the equation by 2
x = 20 / (2)
$$x_{1} = 10$$
$$x_{1} = 10$$
This roots
$$x_{1} = 10$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 10$$
=
$$\frac{99}{10}$$
substitute to the expression
$$2 x - 6 > 14$$
$$-6 + \frac{2 \cdot 99}{10} > 14$$
69/5 > 14
Then
$$x < 10$$
no execute
the solution of our inequality is:
$$x > 10$$
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Solving inequality on a graph