Solve for x -1<4+5x<=19

$- 1 < 4 + 5 x \leq 19$

Step 1

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

Subtract $4$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 1 - 4 < 5 x \leq 19 - 4$

Subtract $4$ from $- 1$ .

$- 5 < 5 x \leq 19 - 4$

Subtract $4$ from $19$ .

$- 5 < 5 x \leq 15$

Step 2

Divide each term in the inequality by $5$ .

$\frac{- 5}{5} < \frac{5 x}{5} \leq \frac{15}{5}$

Step 3

Divide $- 5$ by $5$ .

$- 1 < \frac{5 x}{5} \leq \frac{15}{5}$

Step 4

Cancel the common factor of $5$ .

Cancel the common factor.

$- 1 < \frac{5 x}{5} \leq \frac{15}{5}$

Divide $x$ by $1$ .

$- 1 < x \leq \frac{15}{5}$

Step 5

Divide $15$ by $5$ .

$- 1 < x \leq 3$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 1 < x \leq 3$

Interval Notation:

$(- 1, 3]$

Step 7