Solve for x 5<x-2<11

$5 < x - 2 < 11$

Step 1

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

$5 + 2 < x < 11 + 2$

Step 2

Add $5$ and $2$ .

$7 < x < 11 + 2$

Step 3

Add $11$ and $2$ .

$7 < x < 13$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$7 < x < 13$

Interval Notation:

$(7, 13)$

Step 5