The given expression is
[tex]18-5z+6z>3+6[/tex]First, we reduce like terms.
[tex]18+z>9[/tex]Then, we subtract 18 on each side.
[tex]\begin{gathered} 18+z-18>9-18 \\ z>-9 \end{gathered}[/tex]Therefore, the solution is all real numbers greater than -9.