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 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: 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: 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: 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: 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 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: 2}

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”.