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.

a) The set of English words that do not contain the letter x.
b) The set of English words that contain both an x and a q.
c) The set of English words that contain an x but not a q.
d) The set of English words that do not contain either an x or a q.
e) The set of English words that contain an x or a q, but not both.

a)

b)

c)

d)

e)

Step-by-step explanation:

We are given the following in the question:

A: English words that contain the letter x

B: English words that contain the letter q

a) The set that represents English words that do not contain the letter x is

That is complement of A.

The compliment of A contains all the observation that cannot belong to A.

b) The set of English words that contain both an x and a q

This is represented by the intersection of both the sets.

The intersection consist of terms common to both sets.

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

This is represented by

d) The set of English words that do not contain either an x or a q.

This will be represented by the compliment of union of the two sets.

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

This will be represented by the symmetric difference of the two sets.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.