Given the inequality
[tex]-7m+4<-45[/tex]Add -4 on both sides.
[tex]\begin{gathered} -7m+4-4<-45-4 \\ -7m<-49 \end{gathered}[/tex]Divide by -7 into both sides, which will reverse the inequality.
[tex]m>7[/tex]The solution to the given inequality is m > 7. Graph it.