Let U={a, b, c, d, e, f, g, h, i, j, k}. Let A={d, f, g, h, i, k}. Let B={a, d, f, g, h}. Let C={a, c, f, i, k}.   Determine A ∩ C.

Q: If p = (u, v, w), show that Ipl < lu + |e| + |w미 а. b. Ju| < \pl, \v] < \pl; |w| < \pl.

A: (A) (|u|+|v|+|w|)2 = |u|2 + |v|2 + |w|2 + 2|u||v| + 2|v||w| + 2|w||u|…

Q: Let U = {h, i, j, k, I, m, n, o, p} A = {h, i, j, m} B= {h, k, I, m, o}

A:

Q: Consider the sets A={a, e, i, o, u} and B={c, m, n, r, s, v, w, x, z}. Which of the following is not…

A: Consider the sets A={a, e, i, o, u} and B={c, m, n, r, s, v, w, x, z}. Which of the following is not…

Q: Let U= {q, r, s, t, u, v, w, x, y, z} A={q, s, u, w, y}, B={q, s, y, z}, and C= {v, W, X, y, z}.…

A: To determine the elements of the set given below

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 U=​{q,r,s,t,u,v,w,x,y,z}, A=​{q,s,u,w,y}, and B=​{q,s,y,z}. List the elements in the set (A ∩…

A: we know that , X ' = U - X

Q: Let U = {−4, −3, −2, 0}, V = {a, b, c}. How many subsets does the set U × V have?

A:

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: Let U={a, b, c, d, e, f, g, h, i, j}; A={a, c, e, g, i); B={a, c, i, j}; and C={f, g, h, i, j). List…

A: It is given that,   U = {a, b, c, d, e, f, g, h, i, j}   A = {a, c, e, g, i}   B = {a, c, i, j}   C…

Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: Let U={a,b,c,d,e,f,g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

A:

Q: Let U, A, B, and C be defined as shown below. U= [ a, b, c, d, e, f, g, h, i, j } A = { d, e, g, h,…

A:

Q: Let X = {a, b, c, d, e} and let T= {X, ø, {a}, {c,d}, {a,c,d}, {b,c,d,e}}, then * (X, T) is not…

A: Option 2 is correct.

Q: Let

A:

Q: State whether each of the following statement is true or false. Justify your answer.(i) { 2, 3, 4, 5…

A:

Q: Let U = {m,a,t,h,e,w,d,i,n} X = { e,w,m,a,t} y = {e,w,d,i,n} Z= {h,e,w}…

A:

Q: Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and    B = {3, 4, 5}. Find A′, B′ , A′ ∩ B′, A ∪ B and hence…

A: Given: Now, The set of all those elements of U which do not belongs to A is called the complement…

Q: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}.…

A:

Q: Are na V Independen O No, f(u,v) + fulu)fy(v) O Yes, f(u,v) = fulu)fy(v) No, f(u,v) = fu(u)fy(v) O…

A: It is given that f(u,v)=4uv.

Q: Let X = {a, b, c, d,e} and let T = {X, Ø, {a}, {a,d}, {a,e}}, then * O (X,T) is not connected but it…

A: No information is given for topology on Y So i have solved only the middle question

Q: Suppose that A= {a,b,c,d} Then |A| =.?

A: Let X be a set , then X be number of elements in set X

Q: Let \(U={a,b,c,d,e,f,g,h}, A={a,b,c,d}, B={b,e,a,d}, C={e,a}\}. Identify if the following statement…

A: The size of a set is defined as the number of distinct elements of that set. This is also called the…

Q: Let U= (q, r, s, t, u, v, w, x, y, z); A= {q, s, u, w, y}; B={q, s, y, z} and C= {v, w, x, y, z).…

A: 1)Given that  U={q, r, s, t, u, v, w, x, y, z}; A= {q, s, u, w, y},  B = {q, s,  y, z} and  C = {v,…

Q: Use the Venn diagram to list the set B-A' in roster form. U A b h O A. B-A'={b,c,t,w} O B. B-A'=…

A:

Q: O Ho: H Diff = 0; H, H O Ho: H Diff = 0; H, H Diff >0 O Ho: Holder =H Youngeri Hai Holder>HYounger O…

A: Given : An equestrian enthusiast is interested in the racing times of horses. She believes an older…

Q: Given the sets U = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } , A = { 0 , 2 , 4 , 5 , 9 } , B = { 1 ,…

A: Given that the universal set is U=0,1,2,3,4,5,6,7,8,9. Also, the sets A and B are given by…

Q: 2. Let, A = { 1,2,3,4 }, B = { a,b,c,d }, C = { x,y,z }, R= { (1,a),(2,d),(3,d),(3,b),(3,d) },S = {…

A:

Q: Let X = {1,2,3,4} SUCH THAT TX = {4, {2},{1,2},{2,3} , {1, 2, 3},X}: AND Y = {1,3,4} C X, THEN TY =

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

Q: Let U= {q, r, s,t, u,v,w,x,y,z} A= {q, s,u,w,y} B={ q,s, y,z} C={ v,w,x,y,z} define the following.…

A: The union of two sets contains all the elements contained in either set (or both sets). The…

Q: Let U= {a, b, c, d, e, f, g, h, i, j, k}. Let A = {a, b, f, h, i, j}. Let B = {a, c, d, h, j}. Let C…

A: Consider the given sets, U=a,b,c,d,e,f,g,h,i,j,kA=a,b,f,h,i,jB=a,c,d,h,jC=a,d,f,g,j We need to…

Q: Let U = {a, b, c, d, e, f, g, h, i}. Subsets K, L, M and N are as follows: K = {a, e, i} L = {b, d,…

A: Using definition of Intersection of Sets.

Q: tate whether each of the following pairs of sets are equal, equivalent, both, or neither. 16. {a,…

A: (16).            a,e,i,o,u , 3,7,11,15,19 Since n(A) = n(B) = 5, then A and B are equivalent.  A and…

Q: Is {1} proper subset of A  A={x,{y},1,2,3,{2,3},{3}}

A: A proper subset of a set A is a subset of A that is not equal to A.Or in other words, if B is a…

Q: Set C and the universal set U are defined as follows. U={p,q,r,x,y,z} C={p,q,x}

A: Given,        Set C and the iniversal set U are defined as follows :         U=p,q,r,x,y,z…

Q: Let U = {a, b, c, d, e, f, g, h, i}. Subsets K, L, M and N are as follows: K = {a, e, i} L = {b, d,…

A: The universal set is given by, U = {a,b,c,d,e,f,g,h,i} If X is a set from the universal set U. Then,…

Q: Let U={a,b,c,d,e,f.g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

A:

Q: Let U = {m,a,t,h,e,w,d,i,n}   X = { e,w,m,a,t}              y = {e,w,d,i,n}            Z= {h,e,w}…

A: U = {m, a, t, h, e, w, d, i, n}   U= Universal set X = {e, w, m, a, t}              Y = {e, w, d, i,…

Q: find the subset of (E, B,T,*)

A:

Q: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. %3D…

A:

Q: Let A = { c, d, f, g} B = { f, j} C= { d, g} Is C C C? True False

A: Every  set is subset  of it self Here C is subset  of C

Q: Let U = {a, b, c, d, e, f, g, h, i}. Subsets K, L, M and N are as follows: K = {a, e, i} L = {b, d,…

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

Q: {(x,a), (x,b), (x,c), (y,a), (y,b).(y,c)} is the Cartesian product AXB of two sets given as A =…

A: our objective is to find A

Q: Let A = {c, d, f, g), B = {f, j}, and C = (d, g}. CsA A) True (B) False

A:

Q: Given that U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} A={1,2,3,4,5,7,8,9,11,13,14,16,17}…

A: Given ,…

Q: Let U​ = ​{a,b,c,d,e,f,13,14,15,16,17,18​},   X=​{a,b,c,14,15,16​}, and Y=​{b,d,f,13,15,17​}.   List…

A: Given U=a,b,c,d,e,f,13,14,15,16,17,18. X=a,b,c,14,15,16 and Y=b,d,f,13,15,17. We know that for a set…

Q: Let U= {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; B = {q, s, y, z} and C = {v, w, x, y,…

A:

Q: Let X = {a, b, c, d,e} and let T= { X, Ø, {a}, {a,d}, {a,e} }, then * O (X,T) is Hausdorff and…

A:

Q: Given U={q, r} and V={s, t}, then: uV = {(s,q),(t,r),(r,s),(t,q)}

A: By the relation from linear algebra  we can solve this question.

Q: Let U = {q, r, s, t, u, v, w, x, y, z} A = (q, s, u, w, y} B = (q, s, y, z} C= (v, w, x, y, z}…

A: Topic:-  set and sub set

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”.