{n} if n is odd For each n E Z, define B(n) {n – 1, n, n + 1} if n is even. Show that B = {B(n) | n E Z} is a basis for a topology on Z.

Q: Write a set using roster notation the set of the letters in the word indistinguishability

A: According to the given information it is required to write a set using roster notation the set of…

Q: A U B =   B ∩ C   (A U B)’   How many subsets are in set A?   |A ∩ B |

A: (1) Here, A = {4,6,8,10} B = {10,14,18,20} Then, A∪B={4,6,8,10,14,18,20}

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

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: Subset: Let X = { 10,20,20,20, 30, 40, 10 } and Y = { 20, 40 }.  Is Y the subset or proper subset of…

A: Given  X = { 10,20,20,20, 30, 40, 10 } Y = { 20, 40 }  We need to find whether Y is subset or proper…

Q: Let the Universal set be the letters a through j: U = [a, b, ..., i, j}. Let A- (b, c, d, 1}, B =…

A:

Q: Difference of Sets-the difference of sets A and B or A-B is the set of all elements that belong to A…

A: A-B is the set of all elements that belong to A but not in B. A-B={0,3}

Q: Construct a Venn diagram illustrating the sets below. U= {1, 2, 3, 4, 5, 6, 7, 8, 9} X= {2, 4, 5, 7,…

A: The sets are U={1,2,3,4,5,6,7,8,9}.

Q: Define: Intersection of two sets (A n B) Example: 4. Given the following sets, find An B A -…

A: Note: as per the guidelines, we are allowed to solve three subparts . Kindly repost the other…

Q: come up with a (VERY) brief description of the set {2, 4, 6, 8} using set-builder notation.

A:

Q: define sets.

A: A set is a collection of well defined objects.

Q: What relationship (subset, intersect, disjoint, or equivalent) can be used to characterize the two…

A: Remind that, SUBSET : Any set A is said to be a subset of B if all elements of A are also elements…

Q: 7. Let the universal set be U = {a,b,c,d,e, f} and let A={a,c,e} and B={a,b,c} Find: a. AUB b. ANB…

A:

Q: Write a verbal description of the set {a, i, e,o, u}

A: According to the provided information, a set is given, set = {a, i, e,o, u}

Q: U A В

A: Given that a set in shaded region of diagram . We need to identify the appropriate symbols for this…