27x>=12 inequation

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27*x >= 12

27 x \geq 12

27*x >= 12

Detail solution

Given the inequality:

27 x \geq 12

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

27 x = 12

Solve:
Given the linear equation:

27*x = 12

Divide both parts of the equation by 27

x = 12 / (27)

x_{1} = \frac{4}{9}

x_{1} = \frac{4}{9}

This roots

x_{1} = \frac{4}{9}

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} + \frac{4}{9}

=

\frac{31}{90}

substitute to the expression

27 x \geq 12

\frac{27 \cdot 31}{90} \geq 12

93      
-- >= 12
10

but

93     
-- < 12
10

Then

x \leq \frac{4}{9}

no execute
the solution of our inequality is:

x \geq \frac{4}{9}

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Solving inequality on a graph

Rapid solution 2 [src]

[4/9, oo)

x\ in\ \left[\frac{4}{9}, \infty\right)

x in Interval(4/9, oo)

Rapid solution [src]

And(4/9 <= x, x < oo)

\frac{4}{9} \leq x \wedge x < \infty

(4/9 <= x)∧(x < oo)