Lets suppose that m-1 is always greater than 1-m. Then, we can write:
[tex]m-1>1-m[/tex]If we move -1 to the right hand side and -m to the left hand side, we get
[tex]m+m>1+1[/tex]which gives
[tex]2m>2[/tex]If we move the coefficient of m to the right hand side (2 is positive so it doesnt flip the inequality symbol) we have
[tex]\begin{gathered} m>\frac{2}{2} \\ m>1 \end{gathered}[/tex]Therefore, Jon is correct if and only if m is greater than 1.
