= [c6, d5, e¹] Consider the bags A = [a³, b¹, c²], B = [b¹, c³, d³] and C= (CB)|? So, we want to know the number of elements of the BAG (AUB) + (CB) (also called bag cardinality. The answer is a number. Determine (AUB) +

Q: U = {x: x is first ten positive integers} A = (1, 2, 5, 6, 9, 10} B=(2, 4, 6, 8, 10} C = (3, 4, 7,…

A: Here A-B =the set of all those elements which are in A but not in B             i.e A-B={1,5,9} And…

Q: 2. Determine in each case whether ACB. Explain each answer in one sentence. (a) A = {0, 2, 5} and B…

A: Answer  A) A is improper subset of B

Q: In how many ways can they sit so that the dinner may NOT end in a disaster (i.e. how many ways can…

A:

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

A:

Q: Given a set S, the following are true statements regarding conv S: Select one or more: O a. None of…

A: Conv of a set S: Conv S is the smallest convex set containing S. Given: S=2, -7, 4, 0, 4, -2, 5, -5,…

Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: Which of these sets are equal: {x, 1, z}, {z, 1, z, x}, {1, x, 1, z}, {1, z, x, 1}?

A: Given sets are x,1,z , z,1,z,x , 1,x,1,z , 1,z,x,1 find out which sets are equal

Q: Which of the following are difference sets? (iii) {3, 6, 7, 12, 14} in Z21.

A:

Q: What is the intersection of sets A and B?

A: The intersection of sets is a set which include the common of the two sets A and B. It is…

Q: h --0-8-0 = and a3 = -4 -3 The set {a₁, a2, a3} will span R³ unless h Let a₁ = -127 4 -17 -3

A: Given:

Q: Use the given sets to find |X n Y. U = х, у, Y = {suav.e}

A:

Q: Given two sets A and B, are the sets A − B and B − A necessarily disjoint? Give a proof or a…

A: Given: A and B are two sets. We have to explain A-B and B-A is necessarily disjoint.

Q: (An B) n(AUC) U 4 2 5 7 6 B 3 8

A:

Q: Prove or disprove: For all sets A, B, we must have 24A2(AAB) = 2B.

A: Given, 2A∆2A∆B

Q: Find the Cartesian product or cardinal number as requested. A = {10, 6, 11} B = {14, 2} Find A x B.…

A:

Q: A company wants to set a code on each product that they sell in the market. The code must contain 3…

A: To determine the number of different possible codes.

Q: Let AAB denote the symmetric difference of the setsA,B. Suppose that A = {1,2,3,4} and B= {2,4,6,8}.…

A: Symmetric difference means elements which are in either of the sets but not both.  Thus, symmetric…

Q: Prove or disprove: For all sets A,B and C: (A-B)-C = A-(BUC).

A:

Q: given: set A = {a,b,c,d} into set B = {1,2,3,4}. which set of ordered pairs represent a bijection?

A: Consider the set S={(a,1), (b,2), (c,3), (d,4)} Here each element of A has exactly one image in B…

Q: Find the cardinal numbers of the sets in the given pair to determine whether the sets are…

A: n(T) and n(P) represents the number of elements in the sets T and P respectively. Obtain the values…

Q: 7- Consider the universal set U = {1, 2, 3, ..., 8, 9} and sets A = {1, 2, 5, 6}, B = {2, 5, 7}, C=…

A: A∩B represents common elements in A and B. Given that A=1,2,5,6 and B=2,5,7 A∩B=2,5

Q: Find the intersection of the sets. {a, b, c, d}∩∅

A: Given sets are {a, b, c, d} and an empty set ϕ

Q: (c) Every element in the set {0, 1, 2} is greater than or equal to half of its square. i. Original…

A:

Q: A: B: C: A U : 18 AnBnC: B An (CUB): 11 10 14 20 How many elements are contained in each of the…

A: Given sets is

Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

A:

Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: We use the definition of the size of a set to find the number of elements in the set B. The size of…

Q: Rewrite the following using mathematical symbols: (a) A is equal to the set whose elements are a, b,…

A: The elements of a set are always presented using curly braces. If P is a subset of Q, then it can be…

Q: Determine whether the ff. proof is valid: for all sets A, B, and C, if A C B and BC C then AC.…

A: This is a valid proof.  Graphical presentation of the above statement is as follows.…

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

A:

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.