The window -6 ≤ x ≤ 6, -6 ≤ y ≤ 2 is the most suitable choice for solving this system of equations graphically. Therefore, -6 ≤ x ≤ 6, -6 ≤ y ≤ 2 is correct.
The most suitable viewing window to solve the system of equations would be window B, which is −6≤x≤6,−6≤y≤2. Here's why:
Window A (-10 ≤ x ≤ 10, -10 ≤ y ≤ 10) is too large.
While it may encompass the solution, it also includes a lot of unnecessary space, making it difficult to see the solution clearly.
Window C (-15 ≤ x ≤ 15, -5 ≤ y ≤ 5) is also too large.
It's similar to window A in that it includes a lot of unnecessary space.
Window D (-20 ≤ x ≤ 20, -15 ≤ y ≤ 15) is the largest window, and it's definitely too big.
It includes a lot of unnecessary space and makes it difficult to see the solution clearly.
Window B (-6 ≤ x ≤ 6, -6 ≤ y ≤ 2) is the smallest window that still encompasses the solution.
It's a good compromise between being large enough to see the solution clearly and being small enough to avoid unnecessary space.
Therefore, window B is the most suitable viewing window to solve the system of equations.
It allows you to see the solution clearly without being cluttered with unnecessary space.