Answer:
a) We can set the following equation:
[tex]|x-2.5|=0.5.[/tex]
Recall that:
[tex]|x|=c\Leftrightarrow x=c\text{ or x=-c.}[/tex]
Therefore:
[tex]x-2.5=0.5\text{ or x-2.5=-0.5}\Leftrightarrow\text{ x=3 or x=2.}[/tex]
c) We can set the following equation:
[tex]|x-45|=9.[/tex]
The solutions of the above equation are:
[tex]x-45=9\text{ or x-45=-9 }\Leftrightarrow\text{ x=54 or x=36.}[/tex]
