Let U= (q, r, 5, t, u. V. W, x, y, z). A = (g. 5, u, w, y): B= (4. 5.y. z) and C= (v, w, x, y. z). List the members of the indicated set, using set braces. BUC O A. (g. S, V, X, y. z) O B. (q. S, y, z, V, W, X, y. z) O C. ty, z) OD. (4. 5, V. W. X, Y. 2)

Q: Use the Venn diagram shown to answer the question below. U A B II III V IV VI VII VIII Which regions…

A:

Q: Find the intersection of the sets. {s, e, t}∩{t, e, s}

A:

Q: Consider A = {x,y,z} and B = {w,x, y}. If U = AUB, Wwhich set is equal to (B\A)'? %3D Note: B\A =…

A: Given the sets  A={x,y,z}B={w,x,y} U=A∪B therefore  U=x,y,z,w Now B-A=w    (All the elements of B…

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: Find the number of elements in sets A, B, and C using the given information. AnC-Ø,n (An B) = 6, n(C…

A:

Q: Consider A = {x, y,z) and B {w, x, y}. If U = AUB, which set is equal to (B\A)'? Note: B\A = B- A.…

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: Suppose that X, Y , and Z. If Pr(X) = 19/40, Pr(Y ) = 11/40, Pr(Z) = 2/5, Pr(X ∩ Y ) = 1/5, Pr(X ∩…

A:

Q: Use the given sets to find D∪(E∩F)D∪(E∩F). U={a,b,c,d,…,x,y,z}U={a,b,c,d,…,x,y,z}…

A:

Q: Given the sets A = {5,6, 7}, B= {0, 1, 2, 3, ...}, and C {4, 5, 6}, tell which of the following…

A: Given the sets A=5, 6, 7B=0, 1, 2, 3, ...C=4, 5, 6 We shall check the correctness of statements a,…

Q: Consider A = (x, y,z) and B = (w,x, y). If U = A U B, which set is equal to (B\A)'? Note: B\A = B-…

A: The union of set A and B is denoted by A∪B has elements both inset A and B The complement of A has…

Q: Let U= (4. r, 5, t, u, v, w. x y, 2). A = (q, 5, u, w, y): B= (9. s. y. z) and C= (v, w, x, y. 2).…

A: Given that 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} To find B'

Q: Let U = {a, b, c, d, e, f, g} A = {a, e} B = {a, b, e, f, g} C = {b, f, g} D = {d, e} Determine if…

A: Given Information -  U = {a, b, c, d, e, f, g}A = {a, e} B = {a, b, e, f, g} C = {b, f, g} D = {d,…

Q: Use the following sets to perform the given set operation: U = {a,b, c, d, e, f, 8,h, i, j,k, p, r,…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Given that n(U) = n(A U BUC) = 37, n(ANBNC) = 6, n(AN B) = 14, %3D n(An C) = 11, n(BnC) = 9, n(A)…

A:

Q: For any sets A, B, and C; the distributive law states AU (B n C); that is a. (A U B) n (A U C) c. (A…

A: DeMogran's distributive law

Q: Consider A = {x, y, 2} and B = {w,x,y}. If U = AUB, which set is equal to (B\A)'? Note: B\A = B – A.…

A: Ac= U-A ; where 'U' is the universal set and 'A' is the given set . A-B=x: x∈A but x∉B .

Q: Draw a Venn diagram so that N(U) = 15, n(S) = 10, n(T)= 4, n(SUT) = 13

A: We will use the formula: To find the number of elements which are in both S and T

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: Let p, q,r E K be given with p an

A: Given, p, q, r∈K be given with p and q not both zero. To prove that the set of allxy∈∏ satisfying…

Q: Draw using Venn Diagram and prove whether it is true or false, that: A O (BU C) = (A O B) U (An C)…

A:

Q: Using these sets, find the following: DU (EU F) D = {b, a, c, k} E = {t, a, s, k) F = (b, a, t, h).

A: Given, D=b,a,c,kE=t,a,s,kF=b,a,t,h D∪E∪F is to be determined.

Q: Given the following definitions: U= [a, b, c, d, e, f, g) A = [a, c, e, g) B = (a, b, c, d} %3D Find…

A: Given: U=a,b,c,d,e,f,gA=a,c,e,gB=a,b,c,dwe have to calculate A∩B'

Q: Use Venn Diagrams to find A \ B and B \ A where A = {1,2,3} and B = {2,3,4}

A:

Q: Given the following definitions: U = {a, b, c, d, e, f, g} A = {a, c, e, g} B = {a, b, c, d}…

A: Given, U = {a, b, c, d, e, f, g} A = {a, c, e, g} B = {a, b, c, d}

Q: .et A, B be any two sets. Prove that if A C B, then A n B = p.

A:

Q: If A and B are sets; A and B°denote the complements of the sets A and B, then the se (A – B) U (B –…

A: Given that: (A-B)U(B-A)U(A∩B)

Q: Given sets​ X, Y,​ Z, and​ U, find the set X∩​(X−​Y)using the listing method.   X=​{d​,a​,f​,g​}…

A:

Q: Suppose that (x, y) E (A \ B) × C, for sets A, B,C C S. Then a E A and r¢ B, and y E C. This implies…

A: Use the following definitions, to prove the given result. Let A and B be two sets. The Cartesian…

Q: Given A={x,y},B={1,2,3,} and C={m,n}. How many ordered pairs are there for AXBXC

A: Elements of A×B are the ordered pairs of the form  A×B=x, y | x∈A, y∈B Given : A=x, y, B=1, 2, 3,…

Q: Consider sets A={1,3,5} and B = {2,4,6}. Find A U B

A: The given sets are A={1,3,5} and B = {2,4,6}. The union of any two sets is the set of all the…

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: Let S = {a, b, c, d, e, f} with P(b) = 0.13, P(c) = 0.19, P(d) = 0.3, P(e) = 0.12, and P(f) = 0.15.…

A: P(a) = 1 - {P(b)+P(c)+P(d)+P(e)+P(f)} = 1 - (0.13+0.19+0.3+0.12+0.15) = 1 - 0.89 = 0.11 So, P(a) =…

Q: Given the following sets { a, b, e } {a} {a, d} in the universe U = { a, b, c, d, e }, what is…

A:

Q: How do I find A’ , Is It B,D and F ?

A: Given U = {a,b,c,d,e,f,g}A = {a,c,e,g}B = {a,b,c,d}A' is nothing but compliment of the set A which…

Q: The Venn diagram below shows the sets A, B,C and U. U А B C Determine whether the given regions are…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Use Venn diagrams to determine whether the following statements are equal for all sets A, B, and C.…

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

Q: Consider A = {x,y,z} and B = {w,x, y}. If U = A U B, which set is equal to (B\A)'? Note: B\A = B –…

A:

Q: ven that n(U) = 50, n(A) = 25, n(B) = 22, and n(A U B)' = 13,  a) Find n(A (Intersect) B) b) Draw…

A: First we have to find n(AnB): Given that, n(U)=50 n(A)=25 n(B)=22 n(AUB)'=13

Q: 2. Shade the portion using a Venn Diagram that represents the set. (A' U B)'n C

A:

Q: Have a look at the following sets. A = {x, y, z, t}, B = {s, t, u, v, w, x}, C = {t, v, u, s}, D =…

A: Given sets are, A=x,y,z,tB=s,t,u,v,w,xC=t,v,u,sD=s,t,u,v Let,   A⊆B   : A is a subset of B i.e.…

Q: Let U = {a, b, c, d, e, f, g} A = {a, e} B = {a, b, e, f, g} C = {b, f, g} D = {d, e}   Determine…

A: We have to check

Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

A:

Q: Write the following sets by listing their elements between braces. 1. P({{a,b},{c}}) 2. P({1,2,3,4})…

A: Given

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: Given ξ= {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q}, P = {b, e, c, j, m, n}, R = {c, l, m,…

A: Given- ξ = a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, P = b, e, c, j, m, n, R = c, l, m, n,…

Q: Consider A {x,y, z) and B= {w,x,y}. If U AUB. Which set is equal to (B\AY? Note: B\A = B-A. {w}…

A: Use set properties

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”.