Solve for x -9<-1+4x<15

$- 9 < - 1 + 4 x < 15$

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.

$- 9 + 1 < 4 x < 15 + 1$

Add $- 9$ and $1$ .

$- 8 < 4 x < 15 + 1$

Add $15$ and $1$ .

$- 8 < 4 x < 16$

Step 2

Divide each term in the inequality by $4$ .

$\frac{- 8}{4} < \frac{4 x}{4} < \frac{16}{4}$

Step 3

Divide $- 8$ by $4$ .

$- 2 < \frac{4 x}{4} < \frac{16}{4}$

Step 4

Cancel the common factor of $4$ .

Cancel the common factor.

$- 2 < \frac{4 x}{4} < \frac{16}{4}$

Divide $x$ by $1$ .

$- 2 < x < \frac{16}{4}$

Step 5

Divide $16$ by $4$ .

$- 2 < x < 4$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 2 < x < 4$

Interval Notation:

$(- 2, 4)$

Step 7