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9x<-2 inequation

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9*x < -2

9 x < -2

9*x < -2

Detail solution

Given the inequality:

9 x < -2

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

9 x = -2

Solve:
Given the linear equation:

9*x = -2

Divide both parts of the equation by 9

x = -2 / (9)

x_{1} = - \frac{2}{9}

x_{1} = - \frac{2}{9}

This roots

x_{1} = - \frac{2}{9}

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{2}{9} + - \frac{1}{10}

- \frac{29}{90}

substitute to the expression

9 x < -2

\frac{\left(-29\right) 9}{90} < -2

-29      
---- < -2
 10

the solution of our inequality is:

x < - \frac{2}{9}

 _____          
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       x1

Solving inequality on a graph

Rapid solution [src]

And(-oo < x, x < -2/9)

-\infty < x \wedge x < - \frac{2}{9}

(-oo < x)∧(x < -2/9)

Rapid solution 2 [src]

(-oo, -2/9)

x\ in\ \left(-\infty, - \frac{2}{9}\right)

x in Interval.open(-oo, -2/9)