Answer :
Solving this inequality for r, we have the following:
[tex]\begin{gathered} \frac{2r+5+r+4}{2}+3>6 \\ \frac{3r+9}{2}>6-3 \\ \frac{3r+9}{2}>3 \\ 3r+9>6 \\ 3r>6-9 \\ 3r>-3 \\ r>-1 \end{gathered}[/tex]Solving this inequality for r, we have the following:
[tex]\begin{gathered} \frac{2r+5+r+4}{2}+3>6 \\ \frac{3r+9}{2}>6-3 \\ \frac{3r+9}{2}>3 \\ 3r+9>6 \\ 3r>6-9 \\ 3r>-3 \\ r>-1 \end{gathered}[/tex]