4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,...
4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 16, 17, 18, 19, 20}
set A = numbers in U that divide into 12 with no remainder,
set B = numbers in U that divide into 16 with no remainder, and set
C = the numbers in U that divide into 20 with no remainder.
a. Made a Venn diagram showing the elements of the sets U, A,...
Let U = {1, 2, 3,
4, 5, 6, 7, 8,
9, 10}, and let the...
Let U = {1, 2, 3,
4, 5, 6, 7, 8,
9, 10}, and let the digits of your ID to be the elements
of set A. For example if my ID is 21743911, then set A would be
{2,1,7,4,3,9}.
Write the bit string that represents set A above.
Let set B = {2, 3, 5, 6, 7, 10}. Write the bit string that
represents this set B.
What is the bit string for the difference of A and B?...
Let
U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
A = {5,...
Let
U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
A = {5, 7, 9, 11, 13},
B = {6, 8, 10, 12, 14},
and
C = {5, 6, 8, 9, 12, 13}.
List the elements of each set. (Enter your answers using roster
notation. Enter EMPTY or ∅ for the empty set.)
(a) Ac ∩ (B
∩ C c)
(b) (A ∪ Bc) ∪
(B ∩ C c)
(c) (A ∪
B)c ∩
C c
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and...
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and let q = (2,
4, 9, 5, 10, 6, 11, 7, 0, 8, 1, 3) be tone rows. Verify that p =
Tk(R(I(q))) for some k, and find this value of k.
Set Operations
In questions 7 and 8 Let A = {0, 2, 4, 6}, B =...
Set Operations
In questions 7 and 8 Let A = {0, 2, 4, 6}, B =
{0, 1, 2, 3}, and C = {4, 5, 6}. U = {x∈ℤ| 0≤x≤10}
7. Find (A ∪ B) – C’.
8. Find C ∩ (A’ ⊕ B’)
Venn Diagrams
Draw Venn diagrams for the following set operations. Show each
step and label the sets as well as what the diagram is showing Ex:
if the Venn diagram is showing C’, label the rectangle...
Let S be the universal set, where: S = { 1 , 2 , 3 ,...
Let S be the universal set, where: S = { 1 , 2 , 3 , ... , 18 ,
19 , 20 } Let sets A and B be subsets of S, where: Set A = { 2 , 5
, 6 , 10 , 16 , 17 } Set B = { 5 , 6 , 9 , 11 , 15 , 16 , 17 , 18 ,
20 } C = { 2 , 3 , 4...
Let A, B, and C be sets in a universal set U. We are given n(U)...
Let A, B, and C be sets in a universal set U. We are given n(U)
= 63, n(A) = 33, n(B) = 34, n(C) = 28, n(A ∩ B) = 15, n(A ∩ C) =
17, n(B ∩ C) = 14, n(A ∩ B ∩ CC) = 9. Find the following
values.
(a) n(AC ∩ B ∩ C)
(b) n(A ∩ BC ∩ CC)