A nB oiaivalar 111222719;10s b) A'U (B n C) 9. Find the number of the subsets and list all subsets of the given set. a) {2, 5, 8} o won beninldo s cout b) {x]x E N, x is an even number and 10 < x< 18}

Q: Which of the following sets is not closed for the operation °, which is defined by the rule a°b = a…

A: The objective of this question is to determine which set of integers is not closed under the…

Q: Are the sets equal? A={17,18,18,19,19,19,20,20,20,20} B={20,19,18,17} Yes No

A: Given SetsA={17,18,18,19,19,19,20,20,20,20} andB={20,19,18,17}

Q: 7. i) How many functions are there from the set {1, 2, 3, ...,k} where k is a positive integer, to…

A:

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

A:

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

A:

Q: (2) Is the set {r € Rr² € N} countable? Justify your answer.

A: Yes the set A={x €R : x2 €N } is countable

Q: 7.) -2 (x-2)2

A: Topic = Limits

Q: Let A = {1,2} and B = {3, 4}. (a) Find A x B (b) How many subsets Ax B of size 2 are there? List…

A: Given that A= {1, 2} and B= {3, 4}A x B is the cartesian product

Q: 21. For E = {a, b}, construct dfa's that accept the sets consisting of (a) all strings of even…

A: NOTE: According to bartleby  guidelines we have to answer only first three subparts please upload…

Q: Consider the family of sets F = {Ap}peP, where P denotes the set of prime numbers, and Ap= {p" |…

A:

Q: 7. (12 points) Use a proof by contradiction to prove: For all sets A, B, and C (A\C)n(B\C)n(A\B) = 0

A: Step 1: proof  let (A/C)∩(B/C)∩(A/B)=Φ this means ∃x∈(A/C)∩(B/C)∩(A/B) Step 2:⇒x∈A/C,x∈B/C,x∈A/B…

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: {m belongs to all integers| m^2=3}    Now list the elements in the set?

A: The given set is {m belongs to all integers| m2=3}.To list down the elements in the given…

Q: 1. (a) Let A = {k, k +1,..., k2}, for k = 1,2,3,.... Uº1 Ak - n=1 Ak (b) Find two infinite sets A…

A: Part (a):- Given that  Ak =  k, k+1, ......, k2 ,   for  k=1, 2, 3,....Find    ∪k=150 Ak - ∩k=1∞ Ak…

Q: Let N={1,2,3,4,...}. Let P(x,y) be the predicate that x is less than or equal to y^2

A: (d) S = {1, 2, 3, 4, 5, 6, 7, 8, 9} (e) T = {3,4,5,6,......} (f) R = {} (empty set)Explanation:(d)…

Q: 1. How many elements are in the set {49, 51, 53,..., 177}? >

A:

Q: Graph the set {x -3<x<2} on the number line. Then, write the set using interval notation.

A: Given, Graph the set {x|-3≤x≤2}

Q: For questions 1-8, match each set in Column I with the appropriate description in Column II. 1.) (1,…

A:

Q: 5. Let x and y be irrational numbers such that x-y is also irrational. Define sets A and B by A = {x…

A:

Q: -w³ (w+2)³(w - 4)º(w - 3) w² (w + 2)³ (w − 3)³ (w+9)¹ Given m(w) Round all answers to 3 decimal…

A: According to the Bartleby Guidelines, we can answer only first three subparts of a question at a…

Q: Which of the following sets is not closed for the operation °, which is defined by the rule a°b = a…

A: Option (a) is not closed under the operation °.Option (b), (c), and (d) are closed under the…