-8*x-6>0 inequation

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-8*x - 6 > 0

- 8 x - 6 > 0

-8*x - 6 > 0

Detail solution

Given the inequality:

- 8 x - 6 > 0

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

- 8 x - 6 = 0

Solve:
Given the linear equation:

-8*x-6 = 0

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

- 8 x = 6

Divide both parts of the equation by -8

x = 6 / (-8)

x_{1} = - \frac{3}{4}

x_{1} = - \frac{3}{4}

This roots

x_{1} = - \frac{3}{4}

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{3}{4} + - \frac{1}{10}

=

- \frac{17}{20}

substitute to the expression

- 8 x - 6 > 0

-6 - \frac{\left(-17\right) 8}{20} > 0

4/5 > 0

the solution of our inequality is:

x < - \frac{3}{4}

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Solving inequality on a graph

Rapid solution 2 [src]

(-oo, -3/4)

x\ in\ \left(-\infty, - \frac{3}{4}\right)

x in Interval.open(-oo, -3/4)

Rapid solution [src]

And(-oo < x, x < -3/4)

-\infty < x \wedge x < - \frac{3}{4}

(-oo < x)∧(x < -3/4)