Solve the Inequality for x -10<=5+x<-5

$- 10 \leq 5 + x < - 5$

Subtract $5$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 10 - 5 \leq x < - 5 - 5$

Subtract $5$ from $- 10$ .

$- 15 \leq x < - 5 - 5$

Subtract $5$ from $- 5$ .

$- 15 \leq x < - 10$

The result can be shown in multiple forms.

Inequality Form:

$- 15 \leq x < - 10$

Interval Notation:

$[- 15, - 10)$