Suppose, m be the number of minutes felipw used.
For his phone service, Felipe pays a monthly fee of $20, and he pays an additional $0.04 per minute of use.
Therefore, the total amount paid by him in a month is
[tex]0.04m+20[/tex]The least he has been charged in a month is $78.04.
Therefore,
[tex]\begin{gathered} 0.04m+20\ge78.04 \\ 0.04m\ge78.04-20 \\ 0.04m\ge58.04 \\ m\ge1451 \end{gathered}[/tex]So, the possible number of minutes he has used in a month is 1451 minutes or more than 1451 minutes.