H = {x/x is a herding dog} and B={collie, sheltie, Border Collie} Note: All of art B are herding dogs. a. How many subsets does set B above have? b. For the set B above, list all of the subsets of B. c. How many proper subsets does set B have?

Q: Determine if the following statement is true or false regarding sets A and C. A = {1, 2, 3, 4, 5, 6}…

A: Given: Set, A=1, 2, 3, 4, 5, 6 and set, C=2, 5, 6To find: To check whether every element of C is an…

Q: Given the sets A = {2, 4, 5, 7}, B = {2,4,5,7}, B = {2,3,5,8} in a universal set U = {1, 2, 3, 4, 5,…

A:

Q: Decide if the given statement is true or false. If it is false, give the reason. (lettuce, beet} C…

A: Some important properties:A⊂B means, A is subset of B.A⊂=B means, A is proper subset of B.

Q: 3. Consider the set of numbers S that are multiples of three and larger than 10. Write S in roster…

A: S is the set of numbers multiple of 3 and larger than 10 In roster notation S={ 12 ,15 ,18,21,24…

Q: Answer the following questions about the given sets. a. Are the sets equivalent? Explain. b. Are the…

A: Answer the following questions about the given sets.aAre the sets equivalent? explainbAre the sets…

Q: Indicate whether the following sets are equal. A={x, j, a, w}, D={x, a, b, y}

A: The given two sets are, A=x,j,a,w and D=x,a,b,y By definition, The two sets A and B are equal sets…

Q: Suppose the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9), and A = {1,5,7,8,9}, B = and C= {1,4}.…

A: Remember :

Q: If set A={1,3,5,7,…}, then match each set of numbers with the term that best describes its…

A: Given A={1,3,5,7,...}

Q: For A= {2,x,v} B={w,x} C ={1,2,3} U=- C={1,2,3} U = {1,2,3,4, w, x,y,z} answer the following. Use…

A: Solution:-

Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following:20.…

A: Let us consider the universal set as set of all alphabets. Then F^c contains all elements os U…

Q: 1. AnB 3. (CUB)' 5. (A B

A: As per the company rule, we are supposed to solve the first three sub-parts of the multi-parts…

Q: Tell whether the statement below is true or false. U is the universal set. Let U​ = {t,u,v,w,x,y,z},…

A: We know that if a set contains n elements then the number of subsets of this set is 2n. Here in the…

Q: Let U = {a,b,c,d,e,f, 17,18,19,20,21,22}, X= {a,b,c,19,20,21}, Y = {b,d,f, 18,20,22), and Z=…

A: We know, two sets A and B are said to be disjoint if they have no common elements that is their…

Q: Let A = (Becca, Danny, Justin, Larry, Olsen, Bell}, B = {Larry, Olsen, Danny}, and C = {Melvin,…

A:

Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: Find the number of proper subsets of the set. {x |x is a day of the week} O A. 256 O B. 64 O C. 127…

A: Given x | x is a day ofthe week

Q: True or False: For sets A and B, if A cB, then A u B = A. True False

A:

Q: Which of the following is/are correct for the set A which is the set of even numbers greater than…

A: Let A be the set of even integers greater than 20. Hence, set A={22,24,26,28,…}

Q: Let A = {1,4,9} and B = {1,3,6,10}. Find each of the following sets. (a) A U B. (b) An B. (c) A \ B.…

A: Sets can be defined as a collection of elements . The elements that form the set can be any elements…

Q: 3. Let A = {1, 2, 3, 4). List all the subsets B of A such that d. [BB] {1,2} ≤ B; e. BC {1, 2}; f.…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.