Solve the Inequality for x -10>-x-5>-16

$- 10 > - x - 5 > - 16$

Move all terms not containing $x$ from the center section of the inequality.

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

$- 10 + 5 > - x > - 16 + 5$

Add $- 10$ and $5$ .

$- 5 > - x > - 16 + 5$

Add $- 16$ and $5$ .

$- 5 > - x > - 11$

Multiply each term in the inequality by $- 1$ .

$\frac{- 5}{- 1} < \frac{- x}{- 1} < \frac{- 11}{- 1}$

Divide $- 5$ by $- 1$ .

$5 < \frac{- x}{- 1} < \frac{- 11}{- 1}$

Dividing two negative values results in a positive value.

$5 < \frac{x}{1} < \frac{- 11}{- 1}$

Divide $x$ by $1$ .

$5 < x < \frac{- 11}{- 1}$

Divide $- 11$ by $- 1$ .

$5 < x < 11$

The result can be shown in multiple forms.

Inequality Form:

$5 < x < 11$

Interval Notation:

$(5, 11)$