Solve the Inequality for x 6<x+5<=11

$6 < x + 5 \leq 11$

Subtract $5$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$6 - 5 < x \leq 11 - 5$

Subtract $5$ from $6$ .

$1 < x \leq 11 - 5$

Subtract $5$ from $11$ .

$1 < x \leq 6$

The result can be shown in multiple forms.

Inequality Form:

$1 < x \leq 6$

Interval Notation:

$(1, 6]$