Question: Let U = {1, 2, 3, 4, 5, 6, 7}, with A = P(U), and let R be the subset relation on A. For B

Let U = {1, 2, 3, 4, 5, 6, 7}, with A = P(U), and let R be the subset relation on A. For B = {{1}, {2}, {2, 3}} ⊆ A, determine each of the following.
(a) The number of upper bounds of B that contain
(i) Three elements of U;
(ii) Four elements of U;
(iii) Five elements of U
(b) The number of upper bounds that exist for B
(c) The lub for B
(d) The number of lower bounds that exist for B
(e) The glb for B

Step by Step Solution

★★★★★

3.49 Rating (175 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a i Only one such upper bound 1 2 3 ii Here the upper ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

954-M-L-A-L-S (7862).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Let U = {1, 2, 3, 4}, with A = P(U), and let R be the subset relation on A. For each of the following subsets B (of A), determine the lub and glb of B. (a) B = {{1}, {2}} (b) B = {{1}, {2}, {3}, {1,...

(a) Let R be the relation on A = {1, 2, 3, 4, 5, 6, 7}, where the directed graph associated with R consists of the two components, each a directed cycle, shown in Fig. 7.14. Find the smallest integer...

Let A = {1, 2, 3, 4, 5, 6, 7}. For each of the following values of r, determine an equivalence relation R on A with |R| = r, or explain why no such relation exists, (a) r = 6; (b) r = 7; (c) r = 8;...

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8}, B = {1, 3, 5, 7}, and C = {5, 7}. A Venn diagram showing these sets is shown in Figure 2.10. Find: a. A C b. B C c. B C d. A C Figure 2.10....

Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}. List all the members of each of the sets in Problems 2540. C

Suppose that the universal set is U 1 2 3 4 5 6 7 8 9 10 Express each of the following subsets with bit strings of length 10 where the ith bit from left to right is 1 if i is in the subset and zero...

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {x: x is even and x 5}, and B = {1, 2, 5, 7, 8, 9}. Complete the following. (a) Find A c B9. (b) Find a two-element set that is disjoint from B. (c) Find a...

11. Solve the equation. (I point) 7955y+3=10 b=42 5:11 T b= ? b=3 12. Suppose U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set andM= {7, 8, 9,10}. What is M"? (I point) {1, 2, 3, 4,5, 6} {1,...

Problem 6: Battleship Blueprint class for Ship objects 10 points total; pair-optional This is one of only two problems in this assignment that you may complete with a partner. See the rules for...

The Rowe Family Trust and A1 Mechanical Pty Ltd formed a partnership to operate a wholesale business selling motor vehicle parts, called A1 Parts Australia. The Partnership is 50/50 and all...

Provide examples from the real world for successful and unsuccessful mergers and acquisitions cases in recent years and state the specific reasons behind their success or failure. Notes: Do not...

2.66 Ideal Weight Thirty-nine students (26 women and 13 men) reported their ideal weight (in most cases, not their current weight). The tables show the data. Women 110 115 123 130 105 110 130 125 120...

Would a firm earning zero economic profit continue to produce, even in the long run?

Fiona opened a retirement account that has an annual yield of 6%. She is planning on retiring in 20 years. How much must she deposit into that account each year so that she can have a total of...

John is 60 years old. He plans to retire in two years. He now has $400,000 in a savings account that yields 2.9% interest compounded continuously. He has calculated that his final working year's...

Bob can afford to deposit $400 a month into a retirement account that compounds interest monthly with an APR of 3.9%. His plan is to have $200,000 saved so that he can then retire. Approximately how...

Kathy is 60 years of age and self-employed. During the year (2015) she reported $100,000 of revenues and $40,000 of expenses relating to her self-employment activities. If Kathy has no other...

You are an equity analyst newly examining the financials of Titan Carpet Cleaners, and are examining measures of cash flow. The tax rate for the firm is 3 5 % , and the Payout Ratio is 1 5 % . You...

Flexibility options Gadget Twin Inc. is looking at investing in a production facility that will require an initial investment of $500,000. The facility will have a three-year useful life, and it will...