Solve for x -2<x-3<5

$- 2 < x - 3 < 5$

Step 1

Add $3$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 2 + 3 < x < 5 + 3$

Step 2

Add $- 2$ and $3$ .

$1 < x < 5 + 3$

Step 3

Add $5$ and $3$ .

$1 < x < 8$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$1 < x < 8$

Interval Notation:

$(1, 8)$

Step 5