Given w1 = –2 + 3i and w2 = 4 – 4i, which complex number can be added to w1 to produce w2?

Let the number to add be x. Then x = w2 − w1 = (4 − 4i) − (−2 + 3i) = 4 + 2 − 4i − 3i = 6 − 7i. So the correct choice is 6 − 7i.

AI-written and checked against the verified answer.