Mister Exam

Lang:

2x-6>14 inequation

You have entered [src]

2*x - 6 > 14

2 x - 6 > 14

2*x - 6 > 14

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:

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

         _____  
        /
-------ο-------
       x1

Solving inequality on a graph

Rapid solution [src]

And(10 < x, x < oo)

10 < x \wedge x < \infty

(10 < x)∧(x < oo)

Rapid solution 2 [src]

(10, oo)

x\ in\ \left(10, \infty\right)

x in Interval.open(10, oo)