Let A, B and C be members of C. Compare An(BUC) and (An B) U (AnC)

Q: Let A, B and C be members of C. Compare An (BuC) and (An B)U(AnC)

A: A Venn diagram is a graphical representation of a sample space. The sample space in a Venn diagram…

Q: Let a, b, c e Z. show that ca & cb if and only if c (a, b).

A:

Q: Given the following definintion U= {a,b,c,d,e,f,g} A={a,c,e,g} B= {a,b,c,d} find A ∩ B

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

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 A, = {..., – 2,- 1,0,1,...,i}. Find

A: Ai={..., -2, -1, 0, 1, ......, i} ∩i=1nAi=?

Q: Prove that if ACC and A CBC C, then either A CB or BCC

A:

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

A:

Q: Let A (k,s), t.en the power set of A is:

A: Set of all subsets of A is called power set of A.

Q: 1. Let A, B and C be members of C. Compare An(BuC) and (A

A: Suppose there are two sets A and B then, the union (∪) of these two sets is defined as a set…

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: Prove that if A – B – D and B – C – D, then A -C– D.

A:

Q: 1. Let A, B, and C be sets. Given A C B, show that (a) AnC C BnC. (b) ВС А.

A:

Q: Show that (A+CBC")- = A- A'C(B'+C"A 'C) 'C" A',

A: Given: A and B are square matrices, C is a matrix of appropriate dimension. Note that…

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, 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: 48. Let A, = {...,-2, –1,0, 1, ...,i). Find %3D a) Aj. b)4-

A: The meaning of the set  ∪i=1n Si where S1,S2,……,Sn are the sets . The set ∪i=1n Si is collection of…

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 A = {5, 6, 7,9}, B = {x € N|x is odd} , C = {1,2, 3, 4, 5, 6, 7, 8, 9}. Show that A B and ACC.

A:

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 UB…

A: To evaluate the given set operations.

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: .Use Venn diagrams to determine whether following is true. a. A – (BNC) = (A – B) N (A – C)

A:

Q: Let A, and Az be two subsets of R. Show that m. (A, x A2) S m*(A,) m*(A2).

A: To prove: m*(A1 * A2) ≤ m*(A1) m*(A2)

Q: Let V = {cities of Metro Manila} and E = {(x, y) |x and y are adjacent cities in Metro Manila}. %3!

A: Given: Let v= cities of Metro Manila  and E=x,y/ x and y adjacent cities in Metro Manila The…

Q: Let A = { a, e, i, o, u } and B = { a, i, u }. Show that A ∪ B = A

A: A ∪ B ={ a, e, i, o, u } ∪ { a, i, u }           = { a, e, i, o, u }          = A

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: Let a, b, c E Z. show that ca & cb if and only if c (a, b).

A: Division properties are used to prove it

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: Given that U = { 1, 2, 3, 4, 5 } and A = { 1, 2, 3 }, find the complement of set A. O { 1,2, 3} O…

A: We have to find complement of A

Q: Prove that if ACC, BCC, and (C A) CB, then C= AUB.

A:

Q: Let P* be a refinement of a partition, P. Show U(P*, f, a) < U(P, f, a)

A: Upper Riemann sum and lower Riemann sum are the very important parts of Riemann integration. Lower…

Q: If z,,z, EC then Z+z,=00 Z+Z2=Z,+Z,O Z Z2=0=Z=0 or z,=00

A: Option (3) and (4)

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

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Q: Prove or disprove that if (A U B) C (An B), then A = B

A:

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 = {e, f, h}, then write all the permutations of A.

A: According to the given information, it is required to write down all the permutation of the given…

Q: if C={}         is {} subset of C ?

A: Question: Is the empty set a subset of itself?

Q: Let A = {{1} , Ø}, then O{Ø} C A, Ø CA O{Ø} Z A, Ø C A O{Ø} Z A, Ø L A O{Ø} C A, Ø L A

A: In this question we have to solve a set A.

Q: Let U = R, A =[-6, 3), B = (-1,5), and D = [-7, 1]. Find (i) AN Bº (ii) (BUD)e

A: We use De' Morgan's law and union, intersection and complement of set to answer the given question.

Q: Use Venn Diagrams to show An (BAC) = (An B) A (AnC).

A:

Q: If AB is a subset  of C,  show that P(C)≥P(A)+P(B)-1. Please show me all of your work.

A: Given that; A∩B⊂C⇒C⊃A∩B⇒P(C)≥P(A∩B)

Q: Let X=R and B={] a, b] /a, b belong to R, a

A: Given set is closopen (close and open) in R.

Q: Which of the following is NOT a subset of 2{a,b} × {a,b} C (b). Ø) C (a,b), (a,b) ) C (a,b}, a) C…

A: Given set

Q: For(a)and(b), let U={1,2,3, ...,12}, A={2,3,5,7,11}, B={1,2,3,10,11,12}, and C={1,2,3,5,8}.…

A: Given Information -  U={1,2,3, ...,12}, A={2,3,5,7,11}, B={1,2,3,10,11,12}, C={1,2,3,5,8}

Q: et A = {a}

A: Given,        A = a

Q: Let A={x,y,z,1} and let B= {1,2,4}. If a set  U= (A x B) U (B x A), how many elements are there in…

A: Recall the following facts.

Q: How to solve this?

A:

Q: 2. Use a Venn diagram to illustrate the following identity: (A U B) UC = A U (B U C).

A: Given: (A U B) U C = A U (B U C) Associative Laws: For any three finite sets A, B and C; (A U B) U C…

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.