Given the following definitions  U={1,2,3,4,5,,6,7} A= { 1,2,,4,5} B={1,3,5,7} how many elements are in A ∩ B'

Q: &2/ suppost se =20, 1} and c={208{ fie ld =20,18 and e= Enumerate the class of all 6- Containing C…

A:

Q: If ∠A≡∠C in ABCD, then ABCD is cyclic.

A:

Q: Consider the following sets U= {1,2,3.4,5,6,7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is A-B' ? * O…

A: Given:- Consider the following sets  U= {1,2,3,4,5,6,7,8} A = {2,4,6} B= {1,2,4,6} To find:- A-B'

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: Show that for n, m e Z+, gcd(2" – 1,2 – 1) = 28cd(n,m) – 1.

A: To prove : gcd(2n-1, 2m-1)=2gcd(n,m)-1where n,m ∈ℤ+

Q: Given that U = {1,2, 3, ..., 11, 12, 13} A = {1, 2, 7, 12} В 3 3,5, 6, 8, 12, 13} С 3 {1,5, 7, 8,…

A: Explanation: Region I:   2 Region II:  Null Region III:  3,6 Region IV:  1,7 Region V:  12 Region…

Q: Given that U = {1,2, 3, .., 11, 12, 13} A = {3, 5, 8, 9, 13} B= {3,5, 6, 8, 9, 10, 11, 12} C = {4,5,…

A: As per our company guidelines we are supposed to answer only first 3 subparts. Kindly repost other…

Q: If "C, = K "C,, then K is n-1 %3D

A: Combination problem....

Q: Given that U={1,2,3,...,11,12,13}U={1,2,3,...,11,12,13} W={4,5,8,10,11,13}A={4,5,8,10,11,13}…

A: We have to find the set of element in that region

Q: Prove that if r <s < n, then P(n , s) is divisible by P(n,r).

A: Given: r≤s≤n Therefore, n-r≥n-s So we can write n-r! = n-rn-r-1n-r-2...n-sn-s-1n-s-2...1 n-r! =…

Q: If C1, C2 are connected subsets of R, then the product C, xC, is a connected subset of R?,

A:

Q: Given the sets of A = (1,2,3,4,5,6,7,8) , B = (5,6,9,12,11,15,21) and C = {3, 4,5, 8, ,9,10, 13).…

A:

Q: In ([0, о), т оос), if A %3DN, then A'%- Оа. А-{1} O b. [0,0) О с. (0, о) O d. Ø О е. А

A: ( [0, infinity) , Tcoc)  Since it is Co-countable topology. All countable sets are closed in given…

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

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: 4 Show that a + B = B +a for all a, BE C.

A: We can write alpha and Beta in general form of element of complex number.

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

A:

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

A: Introduction: Suppose x belongs to the set A ∩ (B ∪ C).

Q: 1. Give definitions for N, Z, Q, R\Q, and R.

A:

Q: If ZH and LJ are supplementary in HJKL, are a) ZK and ZL necessarily supplementary also? b) ZH and…

A: Given :∠H and ∠J are supplementary…

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: Prove that if a|b and b|c, then a|c.

A:

Q: I, For A and B of Hhe univer sal ß subsets proside a in terse ct B set X, provide a formal prof for:…

A: Given: X is a universal Set. A and B are the subsets of Universal Set X. We have to prove that A…

Q: Suppose A1, A2, ..., 430 are thirty sets each having 5 elements and B₁, B2, ..., B₁ are n sets each…

A:

Q: Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} %3D B = {1, 3, 5, 7} How…

A:

Q: Suppose a, b, c, d e Z, a + b = c, and dla. Prove that d|b if and only if d|c. 5.

A: see below the calculation steps

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

A: Division properties are used to prove it

Q: onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A: In this question, the concept of Set Operations is applied. Set Operations The concept of set…

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: 1. It consists of elements that are in A but not in B. universa

A: Given that  It consists of elements that are in A but not in B. Note: According to bartleby experts…

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: Use the accompanying Venn diagram, which shows the number of elements in region Il to answer the…

A: Solution is done in step 2

Q: If a,,a,, a3,., a, are in HP, Prove that a,a, +a,a; +...+ a,.1 a, = (n - 1)a,a,.

A:

Q: How many elements are in A ∩ B  U= {1,2,3,4,5,6,7} A={1,2,4,5} B={1,3,5,7

A: Given:

Q: Let S be a set of four elements given by S = {A, B, C, D} with the following table. * A B c D A B c…

A: Consider the set S=A, B, C, D. Given table: * A B C D A B C A B B C D B A C A B C D D A B…

Q: 2. Show that if u is a SC

A: Given, if u is a solution of                          ∇2u+D(x, y)∂u∂x+E(x, y)∂u∂x=-F(x, y) in D with…

Q: Consider the partition P of [0, 1] be given by P = {0, 1/8, 1/4, 1/3, 2/3, 3/4, 1}. What is the norm…

A: Here given that the partition P of 0, 1 be given by P=0, 18, 14, 13, 23, 34, 1 .We have to find the…

Q: Prove, without using Theorem 1.12 or copying the proof, that for all a, b ∈ Q with a &lt; b, there…

A:

Q: are rings. (Z,+,.), (R,t,.),(Q,+,.) a

A: (Z,+,.) , (R,+,.) , (Q,+,.) Are rings

Q: Let A = {a, a, b, c} and B = {a, b, c}. Prove that A = B. Thus, the number of times an element is…

A: Given A={a,a,b,c} and B={a,b,c} we  have to show that A=B, for  this we will show that A⊂B and B⊂A…

Q: Use Venn diagrams to verify that if A is contained inB, then A ∩ B = A and A ∩ B = ∅.

A: Venn Diagram: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation…

Q: In drawing 3 CD’s from a lot, defective and non defective CD’s , let A, B , C and D mean at least…

A: let A, B , C and D mean at least one Defective CD, at least one non defective CD, 2 defective CD’s…

Q: Answer the following question. Suppose U = {z |3<= < 15, z € Z}, R= {z | 5 <z < 8, z € Z}, and T =…

A: Note: As per the policy, if a question has more than four parts, it is instructed to answer only the…

Q: 2. If (x, y) is a sa

A: As per the guidelines, we are supposed to solve one question. Kindly repost the other question as a…

Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В 3D {3, 1, 9, e, а, с, 0}, and С %3D {2, с, 10, 9, 8, —4,…

A: Using the definition of intersection, union and difference between two set

Q: Let S = {a, b,f,g, i, k, m, q, t} . (1) How many subset of S have exactly 3 elements? (2) How many…

A: We have to find no. Of subset as per given question.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.