| -6x - 3 | > 15
This expression can be written as:
a) -6x - 3 > 15
b) -15 > - 6x - 3
Solving a part:
[tex]- 6x - 3 \ \textgreater \ 15 \\ \\
- 6x \ \textgreater \ 18 \\ \\
x \ \textless \ -3[/tex]
Solving b part:
[tex]-15 \ \textgreater \ - 6x - 3 \\ \\
-12 \ \textgreater \ - 6x \\ \\
2 \ \textless \ x [/tex]
or we can write:
x > 2
So the solution to given inequality is:
[tex]x \ \textless \ -3 \\ or \\ x \ \textgreater \ 2[/tex]
The second option correctly lists this solution.