Answer :
Given the inequality:
[tex]x+9>1[/tex]Subtracting 9 on both sides:
[tex]\begin{gathered} x+9-9>1-9 \\ x>-8 \end{gathered}[/tex]In interval notation, the solution is:
[tex](-8,\infty)[/tex]Finally, the graph on the number line:

Given the inequality:
[tex]x+9>1[/tex]Subtracting 9 on both sides:
[tex]\begin{gathered} x+9-9>1-9 \\ x>-8 \end{gathered}[/tex]In interval notation, the solution is:
[tex](-8,\infty)[/tex]Finally, the graph on the number line: