Algebra Examples

$- 1 < x + 2 \leq 7$

Step 1

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

$- 1 - 2 < x \leq 7 - 2$

Step 2

Subtract $2$ from $- 1$ .

$- 3 < x \leq 7 - 2$

Step 3

Subtract $2$ from $7$ .

$- 3 < x \leq 5$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$- 3 < x \leq 5$

Interval Notation:

$(- 3, 5]$

Step 5