Solve for x 1<x-2<7

$1 < x - 2 < 7$

Step 1

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

$1 + 2 < x < 7 + 2$

Step 2

Add $1$ and $2$ .

$3 < x < 7 + 2$

Step 3

Add $7$ and $2$ .

$3 < x < 9$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$3 < x < 9$

Interval Notation:

$(3, 9)$

Step 5