17 Let R={y,p}, S={z,p,u}, and T={r,y,p,u,z}, For each of the following questions, enter T if the assertion is true, and enter F if the assertion is false. 5. p∈S∩Tp∈S∩T?  6. r∈S∩Tr∈S∩T?

Q: If A and B are any two sets, then A ∩ (A ∪ B) is equal to a. A b. B' c. A' d. B​

A: It is given that A and B are any two sets. It is required to obtain the value of A∩A∪B.

Q: Select all the true statements. (-15.5, 0) m n Р (-4,8) -10 (-5, -6.8) 20 10 10 q (0, 6.2), (6.8,…

A:

Q: For the three sets A, B, and C,  A-(BUC) will be equal to,

A:

Q: For any sets A and B , (ANB) = %3D O a. ANB O b. ANB Oc. B-A С. В- А O d. U-B

A: By using identities of set theory :

Q: Decide, among the following sets, which sets are subsets of one and another:A = { x : x ∈ R and x…

A: A = { x : x ∈ R and x satisfy x2– 8x + 12 = 0 } ={ x : x ∈ R and x satisfy (x-6)(x-2)= 0 }= {2,6} B…

Q: Let A= {1,2.3)} then P(A)= {þ, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}} Ture False O

A: Subset: If every element of a set A is also an element of a set B, then A is called a subset of B.…

Q: For every two sets A and B, if A–B = B – A , then A-B=Ø. For every two sets A and B, ANBCA-B.

A: (4) Given A and B are two set such that A-B=B-A for every A and B We have to show that A-B=∅ Now,…

Q: Let the statements A, B be A: (not p) and q, B: (not p) or (not q). If p = F and q = T, then DA = F,…

A: The objective is to solve the problem

Q: Which of the following is true for all sets S and T? Select one: O A. SOT SOT B. SOT SUT C. SUT SOT…

A: see below the answer and explanation

Q: Which of the following is NOT always true for sets A and B such that AC B? A. AnB = A C. BU (A - B)…

A:

Q: You are looking for a student at your college who lives within 10 kilometers from you. You recall…

A: Let X be the number of calls made to get the first success that is calling a student that lives…

Q: Which of the following set is consistent? Select one: O i. None of these O ii. (A&~(BVA) } O i. {J>…

A:

Q: Let A = (1, 2,3,4, 5) and B = (0, 3, 6). Match the given sets on the left to the sets on the right.…

A:

Q: Prove this: A≤B iff AnB=A

A:

Q: 1.Let Qz);z +1> 2z ,x an integer. Find the truth value a. Q(0) 6.Q(-1) cQ(1) d.VzQ(z) e.3rQ(z) f.…

A:

Q: Describe an assumption that we are making about the distribution of the beans after “frolicking,”…

A: When marked beans are added back to the population in the cup, the researcher ask to 'frolic' or mix…

Q: Let A and B be two sets. We denote A- B = { x | x∊A and xÏB}. Prove that A∪B=(A−B)∪(A∩B)∪(B−A).

A:

Q: 3. Let U= {x: xEZ, 0<x< 15} A = { x: x E N and (x − (m + 3)(x − (m + 2) = 0}, B = {8,6,7,9} and a.…

A:

Q: If X = {£, P, $) and Y = {0,0,0), which of the following statement(s) is/are NOT true? i. The two…

A: The objects of the sets X and Y are totally different that is they have no common element as such.…

Q: The table below shows the values of predicates

A: Given,

Q: Which of these sets are equal? O An (B U C) = (A n B) U (A n C) An (B U C) = (A n B) U c O An (B U…

A:

Q: Consider the following sets: S = {1, 2, 3, 4, 5}, T = {2,3,4,5}, U = {1,3,5). Which of the…

A: Given sets areWe know thatA set A is a subset of set B i.e.  if all elements of the set A are…

Q: Let X: = {a, b, c, d}, Tx:= {0, X,{a},{c}, {d},{a, c}, {c, d}, {a, c, d}}. Then Bị := {0, X,{a},{c},…

A: Basis for a Topology Definition. Let X be a set. A collection of sets B⊆ P(X) is called a basis on X…

Q: Let U= { 1,2,3,...,20}. Let A, B, C be the subsets of U. Let A be the set of all numbers, which are…

A:

Q: If A= {1,2,3,4,5,6,7,8}    B= {1,2,3,4,5}    C= {7,8,9,10}    U= {1,2,3,4,5,6,7,8,9,10} What is the…

A: Introduction: The quantity of items in a mathematical set is known as a set's cardinality. It may be…

Q: ..., 2, ), ), ),), 486, ... )._), 486, . О 4,8, 16, 32 о 6, 18, 54, 162 о -10, -50, -250, -1250 о 8,…

A:

Q: Let the statement A be given by A: (not p) implies (q and r). For which value is A = F? Op=q = T,r =…

A: To find for which value the given statement A is false. Given: A: (not p) implies (q and r).

Q: How many people need to attend a party for there to be a > 80% probability that at least two of them…

A: Given information: The probability that at least two of the people share the same birthday is 0.8.

Q: 2}

A:

Q: A:={ x∈ Z | 1≤x≤40 and gcd(x,40)=1} Specify the set and listing their elements

A:

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”.