Answer
There is no edge which connects vertex F and vertex E.
Therefore, H,I,F,E is not a path.
Work Step by Step
A path is a sequence of adjacent vertices. Two vertices are adjacent if there is an edge which connects the two vertices.
From vertex H, a path can go to vertex I, and then to vertex F. However, the path can not go to vertex E from vertex F because vertex E and vertex F are not adjacent. There is no edge which connects vertex F and vertex E.
Therefore, H,I,F,E is not a path.