$\"\"$

Consider the case $\"\"$ . $\"\"$ means the distance between $\"\"$ and $\"\"$ is less than $\"\"$ units.

Hence the solution is in between $\"\"$ and $\"\"$ .

Consider the case $\"\"$ . $\"\"$ means the distance between $\"\"$ and $\"\"$ is greater than $\"\"$ units.

Hence the solution is outside of $\"\"$ and $\"\"$ .

$\"\"$

Observe the graph:

The graph has one terminal of the line graph containing circle at $\"\"$ and other terminal of the line graph containing circle at $\"\"$ and the solutions are between $\"\"$ and $\"\"$ .

The solutions are between $\"\"$ and $\"\"$ but $\"\"$ and $\"\"$ are not included in the solution set.

Therefore the absolute function :

$\"\"$ .

The absolute function is $\"\"$ .

$\"\"$

The absolute function is $\"\"$ .