2. Let A = {a, {a}}, B = {0, b}, C = {{0}, c, {0, c}}, D = {0}, and E = {e}. Find following sets and cardinalities: a) P(B)= b) P (D)= c) P(P(D))=

Q: Let f(n) be defined as the cardinality of the set {k | 1<k<n & gcd(k,n) = 1 }. According to this…

A: Consider the given statement : Let f(n) be defined as the cardinality of the set { k | 1&lt;k&lt;n…

Q: Let N be the set of all ounting numbers: 1, 2, 3,.... Consider these set definitions: A = {z € N| (4…

A: The complete answer is given below.

Q: For function f from {a, b, c, d} to {1, 2, 3, 4, 5}. f(a) = 4, f(b) = 5, f(c) = 1 and f(d) = 3, The…

A: - We have to get the domain of the set where function is called from {a, b, c, d} to {1, 2, 3, 4,…

Q: e } and Q = { a,q,r,s,e }, how

A: Given   If P = { a,b,c,d,e } and Q = { a,q,r,s,e }, how many members has (P U Q) ?

Q: Given the following sets: A = {7, 5} B = {1 , 2 , 5, 4} C = {1, 7} Find B x A x C. Question:…

A: The given sets are: A = {7, 5} B = {1 , 2 , 5, 4} C = {1, 7}   B x A = {1 , 2 , 5, 4} x {7, 5}…

Q: Given the following sets: A = {7, 5} B = {1, 2, 3, 4, 5} C = {1, 7} Find C x B x A Question:…

A: Finding cardinality in sets.

Q: A = {0, 1, 2, 3, 4}  B = {2, 3, 4, 5} Given the sets A and B, how many constants maps are there…

A: Given:-  A = {0, 1, 2, 3, 4}  B = {2, 3, 4, 5}

Q: Find the sets A and B if A – B = {1, 4, 7, 11}, B – A ={2, 20}, and 4 N B= {3, 5 ,19}

A: here is your answer

Q: De Morgan’s laws also apply to sets.   De Morgan’s laws   (A U B)’ =  A’ ∩ B’ (A ∩ B)’ =  A’ U…

A: Given equation to prove:A – (A – B) = A ∩ BGiven De Morgan’s laws(A U B)’ =  A’ ∩ B’(A ∩ B)’ =  A’ U…

Q: . Let Q, R and S be sets. Show that (R – Q) ∪ (S – Q) = (R ∪ S) – Q.

A: Given:  Let Q, R and S be sets. Show that (R – Q) ∪ (S – Q) = (R ∪ S) – Q.

Q: Question 10. Let A, B and C be sets. Show that (AC) n (C - B) = Ø

A: Note: Answering the question in python as no programing language is mentioned. Task : The input set…

Q: Given a universal set, U = {a, b, c, e, f, g, h, k, m}, and the the ff. sets: A = {a, b, c} B = {a,…

A: Given, U = {a, b, c, e, f, g, h, k, m} A = {a, b, c}      B = {a, c, f, h, m}     C = {c, e, g, k,…

Q: Let the domain be the set of all positive integers. Let: P(z): "z is a perfect square". Q(z): "z is…

A: A tautology is a compound explanation that will constantly be valid for each worth of individual…

Q: Let A = {1,2,3}, B = {2,3,4,5) and C = {1,3,5,7}. What is the cardinality of the set (A- B) UC?

A: As given, we need to find out the cardinality of the set (A-B) ∪ C.

Q: Let A = {1, 2, 3},         B = {{1}, 2, {1, 3}},         C = {1, {1}, 3}.   Compute the following…

A: Compute of given sets

Q: Given the sets A={1,2,a,d,f} and B={a,b,c,d,e,f}. The cardinality of A – B is

A: Here in this question we have two set A and B  A={ 1 ,2 ,a , d, f} B={ a, b, c, d, e, f} We have to…

Q: The format P(X) represents as a power set of given "X", (of all X's subsets)   Now, assume there…

A: Your answer is given below.

Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters: