Q: Let A be the set of English words that contain the letter x, and let B be the set of English words that contain the letter q. Express each of these sets as a combination of A and B.
(d) The set of English words that do not contain either an x or a q.
The answer in the textbook is: $\bar{A} \cap \bar{B}$
But I got a different answer which is $(A \cap B)^{c}$
because the set contains all the English words except for those that contain both x and q. For example, the word "experience" is in this set because it does not contain q.
Which one is correct?