-5x-10<=-6 inequation

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-5*x - 10 <= -6

- 5 x - 10 \leq -6

-5*x - 10 <= -6

Detail solution

Given the inequality:

- 5 x - 10 \leq -6

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

- 5 x - 10 = -6

Solve:
Given the linear equation:

-5*x-10 = -6

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

- 5 x = 4

Divide both parts of the equation by -5

x = 4 / (-5)

x_{1} = - \frac{4}{5}

x_{1} = - \frac{4}{5}

This roots

x_{1} = - \frac{4}{5}

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{4}{5} + - \frac{1}{10}

=

- \frac{9}{10}

substitute to the expression

- 5 x - 10 \leq -6

-10 - \frac{\left(-9\right) 5}{10} \leq -6

-11/2 <= -6

but

-11/2 >= -6

Then

x \leq - \frac{4}{5}

no execute
the solution of our inequality is:

x \geq - \frac{4}{5}

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Solving inequality on a graph

Rapid solution 2 [src]

[-4/5, oo)

x\ in\ \left[- \frac{4}{5}, \infty\right)

x in Interval(-4/5, oo)

Rapid solution [src]

And(-4/5 <= x, x < oo)

- \frac{4}{5} \leq x \wedge x < \infty

(-4/5 <= x)∧(x < oo)