S and T are binary relations on the set {a, b, c, d} and are defined as follows: S%3{ (а, b), (a, с), (b, d), (d, c)} T3{ (b, b), (с, а), (с, d), (а, d)}

Q: ) Let u=(,2,3/ 니,5147, 위/이, 10 ), A-(,3,5,9), 8-2,5어) Find the Sets B. 2 7 3. 9. 10 2)B' 3) AnB 4) A…

A: A set is a well defined collection of the objects, these objects are called the elements of the…

Q: I. Let U = {-2, -1,0, 1, 2, ..., 10}, A = {a € U : a is even}, B = {b e U : b is odd}, C = {c € U:c…

A: As per the instructions we will be solving only the first three subparts. Let U = { -2, -1, 0, 1, 2,…

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}. What is |A × C|?

A: Given that A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}.  We have to find |A × C|.

Q: Let A = {a,b, c, d, e, ƒ}, and let G and H be the following equivalence relations in A: G = IA U…

A:

Q: Consider the relations R = {(1,5), (2, 2), C S%3D { (2,4), (3, 4), С T3 {(1,4), (3, 5), С on the set…

A: The solution is given below.

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: et V = {1,2,3,4,5,6} and B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}. Determine |Aut(V, B)|

A: Given: V = {1,2,3,4,5,6} B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}

Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

Q: 3. Which of the following statements are true? There may be more than one correct answer. A. Ø CA B.…

A:

Q: How many symmetric relations on the set A = {1,2, 3, 4, 5, 6, 7, 8} contain the ordered pairs (2,…

A:

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8}.  How many possible symmetric relations over A contain the ordered…

A: A relation R is said to be symmetric if a,b∈R implies b,a∈R. It is given that A = {1, 2, 3, 4, 5, 6,…

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

A: Given, A = {0,2,4,6} B = {1,2,3,4,5} C = {1,3,5,7}

Q: Let A={1,2,3,4,5} and…

A: Let A=1,2,3,4,5 and R=1,1,1,3,1,4,1,5, 2,2, 2,3, 2,4, 2,5,  3,3, 3,4, 3,5, 4,4,  5,5 (a) The…

Q: B = {98, -42, 1, 56, 82, 607, 741, 87, -475, 80} C = {0, 475, 485, 87, 9, -412, 90, 651, 584, 89} D…

A: We have given that  Set of A,  B,  C, D, E I want to find union and intersection.

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: How many relations are there on the set {a, b}. Show all possible relations on the set {a, b} in…

A:

Q: . Let f= {(-4,4), (-2, 4), (1, 3), (3, 5), (4, 6)} and g= {(-4, 2), (-2, 1), (0, 2), (1, 2), (2, 2),…

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:

Q: 1. Show that 2 is a primitive root modulo 13. 2. For each element a in T, find the index of a mod 13…

A: T=1,2,3,4,5,6,7,8,9,10,11,12

Q: Let U= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 3, 4, 5, 6}, and B = {0, 3, 6, 9}. Find A NB.

A:

Q: Let A = [1,2,3,4; 0,0,1,-1; 2,0,0,-3;1,2,2,5] Determine the rank of A.

A: Consider the given matrix A,

Q: Determine B X A

A: It is given that  U = { 1,4,5,7,9} A = { 1,4,7} B = {3,5}

Q: The set S= {(-4,-3,4), (1, 2 3), (6,0,0)}

A: TO TELL THE SET IS [ (-4,-3,4) , (1,2,3) ,(6,0,0 ) ] IS LINEARLY DEPENDENT OR LINEARLY INDEPENDENT

Q: Write out the elements of the set 2X where X= = {1,{0}, Ø, {2,3}}.

A: