m > -1/2
Explanation:
[tex]7\lbrack3m-(m+2)\rbrack\text{ > 6(m-3)}[/tex]First we open the bracket:
[tex]\begin{gathered} 7\lbrack3m-m-2\rbrack\text{ > 6(m-3)} \\ 7\lbrack2m\text{ -2\rbrack > 6m - 18} \\ 14m\text{ - 14 > 6m -18} \end{gathered}[/tex]Collect like terms:
[tex]\begin{gathered} 14m\text{ - 6m > -18 + 14} \\ 8m\text{ > -}4 \\ \text{Divide through by 8} \\ m\text{ > }\frac{-4}{8} \\ m>\text{ }\frac{-1}{2} \end{gathered}[/tex]