Perform and draw the set operation below. Let U = ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ,10 ) A = ( 0, 2, 3, 4, 10) B = ( 1, 2, 3, 4, 6, 8) C= ( 1, 3, 5, 7, 9) 1. AUB 2. A UC = 3. ΑΩΒ- II

Q: Let U={0,1,2,3,4,5,6,7,8} and E= {0,2,4,6,8} and P={2,3,5,7}, then P (upside down U) E= A. { } B.…

A: B. {2}

Q: Expand the given set to form a basis for R³. (IC) BO

A: Given set  We have to expand the basis for

Q: Use the given sets to find A∩B A={2,3,5,8,11,15,20} B={4,6,7,9,10,12,13}

A: NOTE: Refresh your page if you can't see any equations. . given sets are

Q: Universal Set = {a, b, c, d, e} %3D Set A = {a, c, e} %3D Set B = {d, e} Set C = {a, d} Set D = {b}…

A:

Q: Find the set AUB. U= {1, 2, 3, 4, 5, 6} A = (2, 3, 4, 6} B = (1, 2, 5}

A: Using the definition of union of sets.

Q: Let V = { a, e, i, o, u } andB = { a, i, k, u}. Find V – B and B – V

A: V-B= elements those lie in V but not in B  Hence, V-B={e,o}

Q: and -5 Compute ū - v. 2

A: Given    Formula :

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9), A = {1, 2, 3, 8}, and B = {1, 2, 3}. Find the set An B. AnB =…

A: U={1, 2,3,4,5,6,7,8,9}A={1, 2,3,8}B={1, 2,3}

Q: Let U = {0, 1,2, ...,9}, A = {1,4,7,8}, B = {1,3, 6, 7, 9}, and C = {1, 2, 3, 5, 7}. BUC= BUC= ANB =…

A:

Q: Let U={1,2,3,4,5,6,7,8,9,10}. Let A={1,3,6,8,10}. Let B={2,3,5,7,8}. Determine (A−B)′

A:

Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A={2, 3, 6, 7}, and B = {3, 5, 6}. Find the set A¹ n B'. A' B'= (Use…

A:

Q: Let S = {1,2,3,4, 5}, G = {(1),(123), (132)}. For each element %3D a e S, find stabc(a) and orbg(a)

A:

Q: Can you find a,b,c, and d (if exists) such that AB = BA.

A:

Q: Find each set U={2,3,5,7,11,13,17,19} B={2} Find B'

A: Given:       Set U=2,3,5,7,11,13,17,19             B=2     B'=set of elements of U that are not in…

Q: Find the value of a for which U = a 1 10 is in the set 0 -1 3 0 H = span 5 3 -1 2 -2 -2 a =

A: The value of a=-7 .Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the set B nø. U=(i, j, k, l, m, n, o, p, q) A = {1, m, o} B = {1, o, p) C={m, n, o, p, q}…

A: Given ,  U={i, j, k, l, m, n, o, p, q} . A={l, m, o}.  B={l, o, p}.  C={m, n, o, p, q} To find the…

Q: Let A = {a, b, c, d}. Find P(A).

A: Let A = {a, b, c, d}. Find P(A).

Q: With U={1,2,3,..,9,10} and A={1,2,3,4,5} B={1,2,4,8}, C={1,2,3,5,7}, D={2,4,6,8}. Determine C' u D'…

A: Let X be the universal set and A be a subset of X. Then the complement of the set A is denoted as A'…

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: U = {1, 2, 3, 4, 5, 6, 7, 8} A = {2, 4, 6} B = {1, 2, 5, 6} C = {2, 3, 4, 5, 8} Find the…

A:

Q: Let a, b e N. Choose all correct statements. O gcd(a, b) = gcd(-a, -b) O gcd(a, b) = gcd(a², b²) O…

A: We apply property of GCD to solve the problem

Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = {2, 6, 10), and B = {6, 9, 10}. Find a. A UB b. An B…

A: Recall  the fact that  if  be any universal set. Then, for any set  the complement of   is  denoted…

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: Let A = (2,3, 4, 6, 7) and B= (1,2,3,5,6). WW hat is A n B' ? (4,7) Osomething else (1.2,34,7)…

A: We have given that  A = { 2, 3, 4, 6, 7 } and B = { 1, 2, 3, 5, 6 }.

Q: Let i = (6, – 6, 1) and v = (– 5, 5, – 6). %3D Compute the following: i · i = i. i = - 6(ü - i) = (–…

A: To evaluate the given dot product of vectors u and v.

Q: (d) Show that two of the vectors in S are orthogonal. Without using Gram-Schmidt orthogonalisation,…

A:

Q: Let A = {1, 2, 3, 4, 5} and R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4), (2,…

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”.