Question

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.

b) Place the elements of each set in the correct region of a Venn diagram.

c) Find the set (A ∩ C) and interpret the meaning of the answer.

d) Find the set (A ∩ B) and interpret the meaning of the answer.

e) Find the set (B ∪ C) and interpret the meaning of the answer.

f) Find the complement set (B ∪ C) ' and interpret the meaning of the answer.

g) Find the set complement (B ∩ C) and interpret the meaning of the answer

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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,...
Prove or disprove: If A and B are subsets of a universal set U such that...
Prove or disprove: If A and B are subsets of a universal set U such that A is not a subset of B and B is not a subset of A, then A complement is not a subset of B complement and B complement is not a subset of A complement
Given two sets A and B, the intersection of these sets, denoted A ∩ B, is...
Given two sets A and B, the intersection of these sets, denoted A ∩ B, is the set containing the elements that are in both A and B. That is, A ∩ B = {x : x ∈ A and x ∈ B}. Two sets A and B are disjoint if they have no elements in common. That is, if A ∩ B = ∅. Given two sets A and B, the union of these sets, denoted A ∪ B,...
answer ASAP (I ) Given the following assumptions : P is True, Q is False, R...
answer ASAP (I ) Given the following assumptions : P is True, Q is False, R is True Determine the final answer for the following propositions 1) P --> Q --> ~R 2) ( ~ P <---> ~ R ) V P 3) (P V Q V ) <---> R (II) Given the following sets A = { 1, 3, 5, 7, 9, 19, 29 }, B = { 1, 5, 3}, C = {7, 8, 14}, D = {7,8,...
Let U=​{1,2, 3,​ ...,3200​}. Let S be the subset of the numbers in U that are...
Let U=​{1,2, 3,​ ...,3200​}. Let S be the subset of the numbers in U that are multiples of 4​, and let T be the subset of U that are multiples of 9. Since 3200 divided by 4 equals it follows that n(S)=n({4*1,4*2,...,4*800})=800 ​(a) Find​ n(T) using a method similar to the one that showed that n(S)=800 ​(b) Find n(S∩T). ​(c) Label the number of elements in each region of a​ two-loop Venn diagram with the universe U and subsets S...
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)
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...
Assuming U represents the universal set and S represents any set, which of the following is...
Assuming U represents the universal set and S represents any set, which of the following is a correct set property? a S ∪ ∅ = S b S ∩ ∅ = S c S ∩ U = U d S ∪ U = S
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 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?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT