Question

Choose the compound inequality that can be used to solve the original inequality |3x-5|>10

Answer 1

C.) 3x – 5 < –10 or 3x – 5 > 10

Explanation:

Answer 2

For this case, we will use the definition of absolute value:

`lxl \left \{ {{x --- x \geq 0 } \atop {-x --- x\ \textless \ 0}} \right.`
We then have the following inequality with absolute value:

`l 3x-5 |\ \textgreater \ 10`
Using, the definition we have two inequations:

`3x-5\ \textgreater \ 10`

`3x-5\ \textless \ -10`
Therefore, the compound inequation is:

`3x-5 \ \textless \ -10 U 3x-5\ \textgreater \ 10`
Answer:
the compound inequality that can be used to solve the original inequality is:
3x-5 <-10 U 3x-5> 10