A = {0,2,4,6} B = {{0},{2}, {4}, {6}} C = A ∪ Ø D= A ∪ {Ø} E= {n ∈ ℕ | n² ∈ ℕ} F= {n² ∈ ℕ | n ∈ ℕ} Which of the following are true? 1. Ø ⊆ A, Ø ⊆ B, {0} ⊆ A, {0} ⊆ B 2. 0 ∈ E, 2 ∈ E, {0} ∈ E, {2} ∈ E, 0 ∈ F, 2 ∈ F, {0} ∈ F, {2} ∈ F Thank you! :)

Q: Let A = (1,2,3, 4, 5,6,7,8), B = {x € Z|x is divisible by 3}, and C = {x € R|x? = 4 + x = -1}, Z =…

A: Let A be a set. When x is an element of a set of A, it is expressed as x€A(read as x belongs to A)…

Q: 1. Let A = {2, {2},{{2}}}, B = {2, {2}, {2, {2}}}. Is A C B? Is BC A? Is either A or B a proner…

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: Use the given sets to find (A∪B)∩C   A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

A: Given that, A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

Q: a. 2 ∈ {2}? b. How many elements are in the set {2, 2, 2, 2}? c. How many elements are in the set…

A: (a) We have to check whether 2∈2 In the set of roster notation, all the elements of a set exist…

Q: prove the following statement. let a,b, and c  be three counting numbers. then, gcd(ac,bc)=c…

A: To prove the statement gcd(ac,bc)=c gcd(a,b), use the following two properties of the greatest…

Q: If A={1,3,5,7,9,11}, B={2,4,6,8,10}, and C={2,3,5,8}, then what is ((A∪C)∩B)∪(A∩C)?

A: Given setsA:{1,3,5,7,9,11|B: {2,4,6,8,10}C: {2,3,5,8|

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: Let ab be a two-digit number where a is the tens digit and b is the ones digit. Find the number of…

A:

Q: Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find B U (AN C). || {

A:

Q: Consider the following set. {-5, -4, -3,0.1. V2,2, 2.5, 4, 아 0, 1, V2, 2, 2.5, 4,

A:

Q: Are there sets A and B such that |A|=|B|,|A|=|B|, |A∪B|=10,|A∪B|=10, and |A∩B|=5?|A∩B|=5? Explain.

A: Given:A|=|B|, |A∪B|=10, and |A∩B|=5The Venn diagram is

Q: Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12}. Find A ∪ B.

A: A ∪ B = {2,4,6,8} ∪ {6,8,10,12}