[tex]-6g + 3g + 12 \ \textgreater \ -18
[/tex]
Start by combining like terms on both sides
-6+3=-3
Now we have:
[tex]-3g+ 12 \ \textgreater \ -18 [/tex]
To isolate g we need to subtract 12 from both sides -18-12= -30
Now we have
[tex]-3g \ \textgreater \ -30[/tex]
Divide both sides by -3 to isolate g, now we have:
[tex]g\ \textgreater \ -10[/tex]
When we divide an inequality by a negative we flip the sign so:
[tex]g\ \textgreater \ -10[/tex]
becomes:
[tex]g\ \textless \ 10[/tex]
Final answer:
[tex]g\ \textless \ 10[/tex]
