Lacey drew a graph representing the system of Inequalities below:
\[
\left\{\begin{array}{l}
2 y-x>4 \\
y<x+1 \\
5 \leq x \leq 8
\end{array}\right.
\]
However, she then realized that her graph is Incorrect, as she did not graph all of the restrictions. Her graph is shown below.
Select all the points, all of which represent sets of Integer coordinates, on Lacey's graph that belong in the solution set of the system of inequalities.