Create an inequality that satisfies the first given. Thus, we add the distances and x and then divide it by 6. Use the greater than symbol.
[tex]\begin{gathered} \frac{4.5+5.7+5.2+4.2+4.4+x}{6}>5 \\ \frac{24+x}{6}>5 \\ 24+x>5(6) \\ 24+x>30 \\ x>30-24 \\ x>6 \end{gathered}[/tex]Therefore, the graph of the inequality must be an open circle on 6 and the shaded part is at the right of 6. Therefore, it must be option C.
