Solve the Inequality for x 2<x+2<5

$2 < x + 2 < 5$

Subtract $2$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$2 - 2 < x < 5 - 2$

Subtract $2$ from $2$ .

$0 < x < 5 - 2$

Subtract $2$ from $5$ .

$0 < x < 3$

The result can be shown in multiple forms.

Inequality Form:

$0 < x < 3$

Interval Notation:

$(0, 3)$