x-3 inequation

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x - 3 > 0

x - 3 > 0

x - 3 > 0

Detail solution

Given the inequality:

x - 3 > 0

To solve this inequality, we must first solve the corresponding equation:

x - 3 = 0

Solve:
Given the linear equation:

x-3 = 0

Move free summands (without x)
from left part to right part, we given:

x = 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} < 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

x - 3 > 0

-3 + \frac{29}{10} > 0

-1/10 > 0

Then

x < 3

no execute
the solution of our inequality is:

x > 3

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Solving inequality on a graph

Rapid solution [src]

And(3 < x, x < oo)

3 < x \wedge x < \infty

(3 < x)∧(x < oo)

Rapid solution 2 [src]

(3, oo)

x\ in\ \left(3, \infty\right)

x in Interval.open(3, oo)