-5x_<-10 inequation

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-5*x <= -10

- 5 x \leq -10

-5*x <= -10

Detail solution

Given the inequality:

- 5 x \leq -10

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

- 5 x = -10

Solve:
Given the linear equation:

-5*x = -10

Divide both parts of the equation by -5

x = -10 / (-5)

x_{1} = 2

x_{1} = 2

This roots

x_{1} = 2

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} + 2

\frac{19}{10}

substitute to the expression

- 5 x \leq -10

- \frac{5 \cdot 19}{10} \leq -10

-19/2 <= -10

but

-19/2 >= -10

Then

x \leq 2

no execute
the solution of our inequality is:

x \geq 2

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Solving inequality on a graph

Rapid solution [src]

And(2 <= x, x < oo)

2 \leq x \wedge x < \infty

(2 <= x)∧(x < oo)

Rapid solution 2 [src]

[2, oo)

x\ in\ \left[2, \infty\right)

x in Interval(2, oo)