There is a way to get layoutInflater:
LayoutInflater inflater = (LayoutInflater) context.getSystemService(Context.LAYOUT_INFLATER_SERVICE);
and
Actually I think that the getLayoutInflater() - Method of Activity is a convenience - method.
Remember that Activity subclasses Context, so all of the Methods available within Context are also available in the Activity Class.
Internally there will be a call to LayoutInflater.fromContext() or context.getSystemService(), so I would stick to context.getSystemService both to avoid the unnecessary method call as well to clarify that I am making a call to a system service.