Solve the Inequality for x -6<x+1

$- 6 < x + 1$

Rewrite so $x$ is on the left side of the inequality.

$x + 1 > - 6$

Move all terms not containing $x$ to the right side of the inequality.

Subtract $1$ from both sides of the inequality.

$x > - 6 - 1$

Subtract $1$ from $- 6$ .

$x > - 7$

The result can be shown in multiple forms.

Inequality Form:

$x > - 7$

Interval Notation:

$(- 7, \infty)$