a. Suppose that the set A is such that b. P(A) = {0, {3}, {5}, {6}, {3,5}, {3,6}, {5, 6}, {3, 5, 6}}. Express A using the roster method. Write the elements of A in increasing order, and do not include any spaces. Suppose that when the set B is removed from P({2, 4, 8, 9}), the following set is obtained as the result: {0, {2}, {4}, {8}, {9}, {2,4}, {2, 8}, {2,9}, {4, 8}, {4, 9}, {8,9}, {2, 4, 8}, {2, 4, 9}, {4, 8, 9}, {2, 4, 8, 9}}. Express B using the roster method. Write the elements of B in increasing order, and do not include any spaces.

Q: Write down all elements of {I, J, K} x {W, X}. (Enter your answer in set notation.)…

A: The given problem is to find the Cartesian product of the given sets {I,J,K} and {W,X}.

Q: Suppose you have the following three sets: A={1,2,3,4,5}, B={3,4,5,6}, and B1={4,5,6}.  If f:A⟶B,…

A:

Q: b. Explain that is {(1, 3), (2, 2), (3, 1)} a permutation function on set A = {1, 2, 3}? if it is a…

A:

Q: Given the function f= {(n,n²)such thatn< 3,n€N} as a set of ordered pairs in set-builder notation,…

A:

Q: List down the elements of A = = {x|x²<45,x € Z} A) {0, 1, 2, 3, 4, 5, 6} B {-6, -5, -4, -3, -2, -1,…

A: The objective is to list down the elements of A.

Q: If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, find the following. (Enter your answers as a…

A:

Q: list all the subsets of  {1,2,∅}   and {{R}} R= real number

A: Number of subsets of a set with n elements is 2^n

Q: Let A = {1,2} and B = {3, 4}. (a) Find A x B (b) How many subsets Ax B of size 2 are there? List…

A: Given that A= {1, 2} and B= {3, 4}A x B is the cartesian product

Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: Let: A = {1,3, 5} B= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} f: A → B, where f(a) = 2a The domain of the…

A:

Q: Let A= (1,2, 3, 4}, let B= {a, b, c, d}, and let P(A) denote the set of all subsets of A. Determine…

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: 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: Q26. Which subset immediately precedes the subset {X7, X5, X3, X2, X1} of the set S= {X7, X6, X5,…

A: Total number of subset of S =2^8 = 256 Now let's find subsets having 5 elements. {x7,x6,x5,x4,x3}…

Q: Which sets are compact? The union of [0, 1] and [2, 3]

A: Concepts introduction: Theorem (Heine-Borel Theorem): A subset S of R is compact if and only if S is…

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: 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…

A:

Q: Suppose that A = {2,4,6}, B={2,6}, C = {6,8}, and D = {4,6,8}. Determine which of these sets are…

A: given sets are A =2,4,6 B = {2,6} C = {6,8} D = {4,6,8}

Q: 1. If={1,2,3,4,5) and = (0, 0, (5), (1,2), (1,5), (3,4), (1,2,5), (2,3,4), (3,4,5), (1,2,3,4]} then…

A:

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2,…

A: Given, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1,…

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: List all the possible subsets of set G, where G = {-7,m,z}- %3D

A:

Q: Let A = {1, 2}. List all the subsets of A. Let B = {1, 2, 3}. List all the subse

A: 1. Let A=1,2find the subsets of A.2.Let B=1,2,3list the subsets of B which are not contained in A.

Q: 1. If A = {1,2,3, 4}, B = {3,4, 5, } are the subsets of a universal set U = {1,2,3, 4, 5, 6}, find…

A: Given that  A={1,2,3,4} and B={3,4,5} are the subsets of the universal set U={1,2,3,4,5,6}.

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: Construct an intersection graph of this collection of sets. A1 = {0, 2, 4, 6}, A2 = {0, 1, 2, 3, 4},…

A: We have to construct an intersection graph of collection of sets. A1 = {0, 2, 4, 6}, A2 = {0, 1, 2,…