@maybeam
regarding your question
when speaking in manners of procedures or a way to do something (using the word method), use "method for".
But when speaking in manners of using a certain method to find out or conclude something, use "method to".
Eg. Use the negating method to weaken the arguments conclusion.
Using the explanation above there is only one answer choice that stands out:
C) Coronary angiography, a sophisticated
method for diagnosing coronary disease,
involves the introduction of dye into the arteries of the heart and is now administered selectively, because
it uses x-rays to observe cardiac function.
Correct structure.Anwser choice D might be confusing at first but the use of "that" incorrectly modifies disease.
Coronary angiography, a sophisticated method to diagnose coronary disease
that involves the introduction of a dye into the arteries of the heart, is now administered selectively, because it uses x-rays to observe cardiac function.
Hope this helps!
PS: i find it very helpful that you keep posting all this questions in forum, for discussion, etc. Kudos to you @maybeam!