Solve for x -9<=2x+1<5

$- 9 \leq 2 x + 1 < 5$

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

Subtract $1$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 9 - 1 \leq 2 x < 5 - 1$

Subtract $1$ from $- 9$ .

$- 10 \leq 2 x < 5 - 1$

Subtract $1$ from $5$ .

$- 10 \leq 2 x < 4$

Divide each term in the inequality by $2$ .

$\frac{- 10}{2} \leq \frac{2 x}{2} < \frac{4}{2}$

Divide $- 10$ by $2$ .

$- 5 \leq \frac{2 x}{2} < \frac{4}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$- 5 \leq \frac{2 x}{2} < \frac{4}{2}$

Divide $x$ by $1$ .

$- 5 \leq x < \frac{4}{2}$

Divide $4$ by $2$ .

$- 5 \leq x < 2$

The result can be shown in multiple forms.

Inequality Form:

$- 5 \leq x < 2$

Interval Notation:

$[- 5, 2)$