5. Find the boundary of the following subsets of R in the standard topology. (1) B = {x € R | x² > 0} (ii) C = {x € R | | – 2| < 1}.

Q: what is the fuzzy subset ? And give examples

A:

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

A:

Q: Let S be the universal set, where: S = {1, 2, 3,..., 18, 19, 20) Let sets A and B be subsets of S,…

A:

Q: Tutorial Exercise {Lenny, Olsen, Darius}, and Let A = {Becky, Darius, Julian, Lenny, Olsen, Bess}, B…

A: Given,          A=Becky, Darius,Julian,Lenny,Olsen,Bess, B=Lenny,Olsen,Darius           and…

Q: Write the symbols used to represent the following: Represent each using sets to explain. Element…

A: We have to write the symbols(Notation) used to represent the given sets and represent each using…

Q: Which of the following does not denote a set?   a. N={x|x≥0} b. S c. {1,2,3} d. 2R3

A: "Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Consider the given set: Q = {xlx is an even number, x ≤ 10} Do the following: A. Write the set…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: Topic: Sets and Basic Notations Directions:  Do as indicated. Use laws of Set Theory to prove A −…

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…

Q: Let a E A and f: A→A be a function such that a ran (f). Suppose that h: w → A satisfies (a) h (0) =…

A: here we can use contradiction to prove this stetements.

Q: Topology: Give five pairs of things and words (3-, 4-, 5-letter words, respectively) that are…

A: We need to find, 5 pairs of things are homeomorphic. 5 pairs of words that are homeomorphic.

Q: 1. The statements of mathematics are supposed to have which quality?   a. Difficult b. Precise c.…

A: We have given the questions to ask about the language and the grammar of mathematics. (1)  The…