4. Let A = {a, {a}, {{a}}}
B = {ø, {a}, {a, {a}}}
C = {a}
Be subsets of S = {ø, a, {a}, {{a}}, {a, {a}}}. Find
a) A C
b) B C'
c) A B
d) ø B
e) (B C) A
f) A' B
g) {ø} B

5. Let A = {x | x is the name of a former president of the US}
B = {Adams, Hamilton, Jefferson, Grant}
C = {x | x is the name of a state}

Find:
a) A B
b) A C
c) B C

6. Consider the following subsets of the set of all students:
A = set of all computer science majors
B = set of all physics majors
C = set of all science majors
D = set of all female students

Using set operations, describe each of the following sets in terms of A, B, C, and D:
a) set of all male computer science majors
b) set of all male students who are not physics majors
c) set of all science majors who are not computer science majors
d) set of all students who are female or science majors

7. Write the set expression for the desired results of the Web search query for sites pertaining to oil paintings by Van Gogh or Rembrandt but not Vermeer. Assume that O = set of oil painting pages, G = set of Van Gogh pages, R = set of Rembrandt pages, V = set of Vermeer pages.

Note: U = union, n = intersect
1. Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}.
Determine A U (B n C)
2. Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}

1. Write the following in roster form:
Set N is the set of natural numbers between ten and sixteen
2. Express the following in set builder notation:
Z = {2, 3, 4, 5, 6, 7, 8, 9, 10}
3. For sets A and B, determine whether A = B, A is a subset of B, or B is a subset of A

Exercises on Sets
1. Please provide a short definition of the following:
a. Set
b. Subset
c. Proper Subset
d. Compliment of a set
e. Union of a set
f. Intersection of a set
Solve following problems showing your work:
2. Set X = {3, 7, 11, 21, 39, 43, 567}, Set Y = {1, 3, 6, 8, 11, 42, 567}

Given the following sets:
A: { a,b,c,d}
B: { b, c, e, f}
C: {x,y,z)
What is the intersection of A and B and C?
What is the union of A and B and C?
Please explain, how you got the answer.

I am currently working on setsand how to identify/recognize variations based on symbols.
Is there any kind of "outline" or list/reference that I can utilize to better understand their core meaning?
A' =
B' =
element of...
subset of...

? Let X:={a,b,c} be a set of three elements. A certain topology of X contains (among others) the sets {a}, {b}, and {c}. List all open sets in the topology T.
? Let X':={a,b,c,d,e} be a set of five elements. A certain topology T' on X' contains (among others) the sets {a,b,c}, {c,d} and {e}. List any other open set in T' which

Bridge to Abstract Mathematics
Set Theory: SetOperations
Let A, B, C and D be sets. Prove that....
a) A B iff A \ B = Ø.
b) If A B U C and A ∩ B = Ø, then A C.
c) C A ∩ B iff C A and C B.
d) If A B, then A \ C B \ C.
e) (A \ B) \ C = (A \ C) \ (B \ C).
f) If A C and B C, then A U B C.
g) (A

1. Without writing them all out, what is the number of subsets of set A ={king, queen, knight, prince, princess, duke}?
2. Given these elements of sets A, B, and C list the elements of set D. Show your work step by step.
A = {1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
C = {3, 5, 7, 9}
D = A intersected with (B U C)

For the first SLP I want you to put into practice what you have learned about setsand counting. I want you to create three sets, set A, set B, andset C by going through the items in your wallet or purse.
Set A will be a list of all of these items.
Create Set B, from the items in Set A that you think are essential.

Exercises on Sets
1. Please provide a short definition of the following:
a. Set
b. Subset
c. Proper Subset
d. Complement of a set
e. Union of a set
f. Intersection of a set
Solve following problems showing your work:
2. Set X = {3, 7, 11, 21, 39, 43, 567}, Set Y = {1, 3, 6, 8, 11, 42, 567}