Solve for x -5<x-7<-2

$- 5 < x - 7 < - 2$

Step 1

Add $7$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 5 + 7 < x < - 2 + 7$

Step 2

Add $- 5$ and $7$ .

$2 < x < - 2 + 7$

Step 3

Add $- 2$ and $7$ .

$2 < x < 5$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$2 < x < 5$

Interval Notation:

$(2, 5)$

Step 5