Solve for x -1<x+1<=6

$- 1 < x + 1 \leq 6$

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

$- 1 - 1 < x \leq 6 - 1$

Subtract $1$ from $- 1$ .

$- 2 < x \leq 6 - 1$

Subtract $1$ from $6$ .

$- 2 < x \leq 5$

The result can be shown in multiple forms.

Inequality Form:

$- 2 < x \leq 5$

Interval Notation:

$(- 2, 5]$