1. Consider the following situation: The universal set U
is given by: U = {?|? ?...
1. Consider the following situation: The universal set U
is given by: U = {?|? ? ? , ? ≤ 12}
A is a proper subset of U, with those numbers that are
divisible by 4.
B is a proper subset of U, with those numbers that are
divisible by 3.
C is a proper subset of U, with those numbers that are
divisible by 2
a) Using Roster Notation, list the elements of sets U, A, B and
C....
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)
Prove by choose-an-element.
For sets D, E, and F in universal set U,
(D U E)...
Prove by choose-an-element.
For sets D, E, and F in universal set U,
(D U E) - (F n E) = (D - F) U (E - F)
1)Let the Universal Set, S, have 97 elements. A and B are
subsets of S. Set...
1)Let the Universal Set, S, have 97 elements. A and B are
subsets of S. Set A contains 45 elements and Set B contains 18
elements. If Sets A and B have 1 elements in common, how many
elements are in A but not in B?
2)Let the Universal Set, S, have 178 elements. A and B are
subsets of S. Set A contains 72 elements and Set B contains 95
elements. If Sets A and B have 39 elements...
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...
Problem 2.1 Which of the following are sets? Assume that a
proper universal set has been...
Problem 2.1 Which of the following are sets? Assume that a
proper universal set has been chosen and answer by listing the
names of the collections of objects that are sets. Warning: at
least one of these items has an answer that, while likely, is not
100% certain. (i) A = {2,3,5,7,11,13,19} (ii) B={A,E,I,O,U} (iii)
C={√x : x < 0} (iv) D = {1,2,A,5,B,Q,1,V} (v) E is the list of
first names of people in the 1972 phone book in...
let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 9}...
let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 9} with A
= {1, 2, 3, 5, 7} and B = {3, 4, 6, 7, 8, 9}
a.)Find (A ∩ B) C ∪ B
b.) Find Ac ∪ B.
1. Let S = {a, b, c}. Find a set T such that S ∈ T...
1. Let S = {a, b, c}. Find a set T such that S ∈ T and S ⊂
T.
2. Let A = {1, 2, ..., 10}. Give an example of two sets S and B
such that S ⊂ P(A), |S| = 4, B ∈ S and |B| = 2.
3. Let U = {1, 2, 3} be the universal set and let A = {1, 2}, B
= {2, 3} and C = {1, 3}. Determine the...
A)Let the Universal Set, S, have 118 elements. A and B are
subsets of S. Set...
A)Let the Universal Set, S, have 118 elements. A and B are
subsets of S. Set A contains 18 elements and Set B contains 94
elements. If the total number of elements in either A or B is 95,
how many elements are in B but not in A?
B)A company estimates that 0.3% of their products will fail
after the original warranty period but within 2 years of the
purchase, with a replacement cost of $350.
If they offer...