Final Answer:
In a linear arrangement, "P sings seventh if G sings fourth" implies that P must be positioned seventh if G is in the fourth position. Therefore, we represent this relationship as P_7G_4.
Step-by-step explanation:
In a linear arrangement, "P sings seventh if G sings fourth" implies that P must be positioned seventh if G is in the fourth position. Therefore, we represent this relationship as P_7G_4. This notation indicates that P is in the seventh position and G is in the fourth position within the linear arrangement.
To illustrate this arrangement:
_ _ _ G _ _ _ P
Here, G occupies the fourth position, and P is positioned seventh as per the given condition. The spaces between G and P can vary, but G remains in the fourth place while P is seventh in the sequence. This linear arrangement satisfies the condition that P sings seventh if G sings fourth, adhering to the given relationship.
The notation P_7G_4 visually represents the specific order in which P and G are positioned within the linear arrangement. This form of notation is commonly used in logic puzzles or problems that require establishing the sequence of elements based on given conditions.