Answer:
p < 4
Explanation:
The initial expression is:
[tex]-1>\frac{p-10}{6}[/tex]So, to solve for p, we need to multiply by 6 on both sides:
[tex]\begin{gathered} -1\cdot6>\frac{p-10}{6}\cdot6 \\ -6>p-10 \end{gathered}[/tex]Then, adding 10 on both sides, we get:
[tex]\begin{gathered} -6+10>p-10+10 \\ 4>p \\ or \\ p<4 \end{gathered}[/tex]Therefore, the solution is the set of numbers that are less than 4.
So, the number line that represents the solution is:
