For this case, we will use the definition of absolute value:
[tex]lxl \left \{ {{x --- x \geq 0 } \atop {-x --- x\ \textless \ 0}} \right. [/tex]
We then have the following inequality with absolute value:
[tex]l 3x-5 |\ \textgreater \ 10
[/tex]
Using, the definition we have two inequations:
[tex]3x-5\ \textgreater \ 10
[/tex]
[tex]3x-5\ \textless \ -10
[/tex]
Therefore, the compound inequation is:
[tex]3x-5 \ \textless \ -10 U 3x-5\ \textgreater \ 10
[/tex]
Answer:
the compound inequality that can be used to solve the original inequality is:
3x-5 <-10 U 3x-5> 10
