Algebra Examples

$- 9 < | x - 8 |$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$| x - 8 | > - 9$

Step 2

Since $| x - 8 |$ is always positive and $- 9$ is negative, $| x - 8 |$ is always greater than $- 9$ so the inequality is always true for any value of $x$ .

All real numbers

Step 3

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$