First, let's solve the inequality for m:
[tex]\begin{gathered} -9m+10<100 \\ -9m<100-10 \\ -9m<90 \\ 9m>-90 \\ m>-\frac{90}{9} \\ m>-10 \end{gathered}[/tex]Now, to graph this inequality, first let's graph the point m = -10 in the number line.
Then, since the symbol of the inequality is "greater than", the solution is to the right of m = -10, and this point is not included in the solution, so we use an open point (not filled point).
So the graph of this inequality is:
