Solve for x -1<=15x+14<=44

$- 1 \leq 15 x + 14 \leq 44$

Step 1

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

Subtract $14$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 1 - 14 \leq 15 x \leq 44 - 14$

Subtract $14$ from $- 1$ .

$- 15 \leq 15 x \leq 44 - 14$

Subtract $14$ from $44$ .

$- 15 \leq 15 x \leq 30$

Step 2

Divide each term in the inequality by $15$ .

$\frac{- 15}{15} \leq \frac{15 x}{15} \leq \frac{30}{15}$

Step 3

Divide $- 15$ by $15$ .

$- 1 \leq \frac{15 x}{15} \leq \frac{30}{15}$

Step 4

Cancel the common factor of $15$ .

Cancel the common factor.

$- 1 \leq \frac{15 x}{15} \leq \frac{30}{15}$

Divide $x$ by $1$ .

$- 1 \leq x \leq \frac{30}{15}$

Step 5

Divide $30$ by $15$ .

$- 1 \leq x \leq 2$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 1 \leq x \leq 2$

Interval Notation:

$[- 1, 2]$

Step 7