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 as a combination of A and B:
a) The set of English words that do not contain the letter x.
b) The set of English words that contain anxbut not a q.
c) The set of English words that contain anxor a q, but not both.

A.) A'

B.) A - B

C.) A△B

Explanation:

Definitions:

A U B = All elements that are either in set A or on set B

A ⋂ B = All elements that are Both in A and in B

A - B = All Elements that are in A and not in B

A' = Complement of A, elements belonging to the universal set, which are not in A

A△B = All elements in A or in B but not in Both. Symmetric difference

IF SET A and B are defined as follows;

A = set of English words that contain the letter 'x'

B = set of English words that contain the letter 'q'

A.) The set of English words that do not contain the letter x.

COMPLEMENT OF A, denoted as A'

B.) The set of English words that contain an x but not a q.

DIFFERENCE OF A and B, denoted as A - B

C.) The set of English words that contain an x or a q, but not both

SYMMETRIC DIFFERENCE OF A and B, that is (A - B) U (B - A) denoted as A△B

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