Solve for x -11<5x-1<49

$- 11 < 5 x - 1 < 49$

Step 1

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

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

$- 11 + 1 < 5 x < 49 + 1$

Add $- 11$ and $1$ .

$- 10 < 5 x < 49 + 1$

Add $49$ and $1$ .

$- 10 < 5 x < 50$

Step 2

Divide each term in the inequality by $5$ .

$\frac{- 10}{5} < \frac{5 x}{5} < \frac{50}{5}$

Step 3

Divide $- 10$ by $5$ .

$- 2 < \frac{5 x}{5} < \frac{50}{5}$

Step 4

Cancel the common factor of $5$ .

Cancel the common factor.

$- 2 < \frac{5 x}{5} < \frac{50}{5}$

Divide $x$ by $1$ .

$- 2 < x < \frac{50}{5}$

Step 5

Divide $50$ by $5$ .

$- 2 < x < 10$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 2 < x < 10$

Interval Notation:

$(- 2, 10)$

Step 7