Consider the set A={1,4,7,8}. The partially ordered set (P(A),⊆) is the power set of A with elements partially ordered by inclusion. Which of the following sets are less than or equal to {4,8} in the inclusion order on P(A)? Select all that apply A. {1} B. {1,4} C. {4,7} D. {1,7} E. {8} F. {7} G. {4,8} H. {1,7,8} I. {1,4,7,8} J. ∅ K. {1,4,7} L. {4} M. {1,8} N. {7,8} O. {4,7,8} P. {1,4,8} Which of the following sets are incomparable with {4,8} in the inclusion order on P(A)? select all that apply. A. ∅ B. {8} C. {4,7} D. {1,4,8} E. {1,4,7,8} F. {4} G. {7} H. {7,8} I. {1,7,8} J. {4,7,8} K. {1,7} L. {4,8} M. {1} N. {1,4,7} O. {1,8} P. {1,4}

Q: List all the subsets of the given set. {g, k, v} Choose the answer that lists all of the subsets of…

A:

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

A:

Q: Let A and B be finite sets with A - B = {a, b, c, d, e, f, g} and An B = {h, i, j, k, l, m}. Find…

A:

Q: Let S = {1, 2, 3, 4, 5, 6, 7, 8},  A = {4, 6, 7},  B = {2, 3, 4, 8},  and  C = {2, 4, 5, 6}.  List…

A: We have to solve given problem:

Q: C = {1,4,9}, D = {2,3,5,7}, E = {2, 4, 6, 8, 10}, F = {1, 2, 3, 4, 5}. List the elements of the…

A:

Q: Let  U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},   A = {7, 9, 11, 13, 15},   B = {8, 10, 12, 14,…

A: Given the universal set is U=7, 8, 9, 10, 11, 12, 13, 14, 15, 16. The sets A, B and C are as…

Q: To determine the set indicated below, use A = {18, 19, 20} , B = {18, 19, 20, 23, 26}, and C = {14,…

A: Given that    A= {18, 19, 20} B = {18, 19, 20, 23, 26}  C = {14, 16, 17, 19, 20, 23, 24} The details…

Q: Let A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }. Give an example of three sets, A1, A2, and A3, such that…

A:

Q: Select all of the following sets that could be the set A if AC {5, 7, 11, 13, 17, 19}. O{5, 7, 11,…

A:

Q: The universal set U is defined as the set of positive integers less than 10. The subsets A and B are…

A:

Q: Suppose we have a set A={1, 2, 3, 4, 5, 6}. What is the partition of A into three parts? Make sure…

A: We can partition of set A as below

Q: Q17D. Define the sets A, B, C, and D as shown. Find (An C) U (B n D). A C C

A:

Q: Find the indicated sets with A, B, and U defined below. (Enter your answers as a comma-separated…

A:

Q: How many subsets are there for the set {h, j}?

A: The given set is {h, j}.It is known that, “If a set contains ‘m’ elements, then the number of…

Q: Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many…

A: The data plotting helps to visualize the relationship between variables. A dot plot consists data,…

Q: Which of the following are minimal elements of the partially ordered set {2, 3, 4, 5, 6, 7, 8, 9, .…

A: Find which are minimal elements of the partial order set 2, 3, 4, 5, 6, 7, 8, 9, … ordered by…

Q: Consider two sets A and B such that A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}. Find the set C…

A:

Q: Find  the  Power  set  of  the set  {b,c} .

A: The power set of a set contains all of its subsets, the empty set and the set itself. If there are n…

Q: The table shows some trees that are in two city parks. Let U be the smallest possible set that…

A: The set Re defines the set of trees in Riverside Park and set S defines the set of trees on Sleepy…

Q: Determine the number of distinct subsets for the given set {t, a, p, e, f, g}.

A: Given set {t, a, p, e, f, g} Since there is no. Of elements = 6 (say n)

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.