19. What is the cardinality of each of these sets? b) {{a}} d) {a, {a}, {a, {a}}} a) {a} c) {a, {a}}

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: Let A, B, C, D be sets. Prove that (a) A × (BN C) = (A × B) N (A × C') (b) (A × B) N (C × D) = (AnC)…

A: Given (a) A×B∩C=A×B∩A×C (b) A×B∩C×D=A∩C×B∩D

Q: Determine which of the following sets are equivalent. ĀU (BNC) BUC) 2) A U B 3) An (BUC) Only 1) and…

A: Answer belowExplanation:To determine which of the given sets are equivalent, let's first simplify…

Q: 25. How many elements does each of these sets have where a and b are distinct elements? a) P({a,b,…

A:

Q: d) Give a recursive definition of the sequence {a„}, n = 1, 2, 3... %3D n if a,= 2 + 1; and a15 e)…

A: d)  Here, given that an=2+1=3 So, for all n, an=3 which is the recursive definition.

Q: Find the number of elements in each of the following sets. a) A'nB b) An B c) (AUB)' = = = 100

A: here Ven diagram is given  according to diagram  we have to answers the number of elements for the…

Q: et A, B, C and D be sets. Prove that (AnB)u(CnD)=(AUC) n(BUC) n(AUD)n(BUD)

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: a) Let A = {4, 7, 8} and B = {−1, 5}, Find and compare sup(A+B) , inf(A+B), sup(A)+sup(B),sup A -…

A: See the attachment

Q: the sets A {1,2,3,4,5), B = {3,4,5,7) and C= {2,4,6,8). Then the set (An C) B is a) {3,5} b) {3,5,7}…

A: A= 1,2,3,4,5 B = 3,4,5,7 C = 2,4,6,8

Q: Find J(A, B) and dJ (A, B) for these pairs of sets. a) A = {1, 3, 5}, B = {2, 4, 6} b) A = {1, 2, 3,…

A:

Q: Let A be the set students who live on campus and let B be the set of students who walk to classes.…

A: The set: A-B contains all the elements that are present is set A but not in set B. The set: A'…

Q: For A= {2,x,y} B= {w,x} C={1,2,3} U={1,2,3,4,w,x,y,z} Use proper set notation a) C- A AUB c) d) e)…

A:

Q: c) Let A and B be sets. Use properties of sets to show (A U B) n (A' O B)' = A

A: Given that                      A and B be sets. Then we have to show that…

Q: 5. Let A = [2,3] and B=[2,5], also let R be the universal set, Find the following sets and show them…

A:

Q: 57. Find UA; and A; if for every positive integer i, a) A₁ = {-i, -i +1,...,-1, 0, 1, ..., i -1, i).…

A:

Q: Let: U={a,b, c,d, e, f, g} and to A= {a,b,c,d} B={C,d, e, f} C={a, e,g} %3D Find the set or…

A: Solution: From the given information,

Q: Which of the answers below is the ordering of these running times from fastest to slowest? a)…

A: We have to arrange the following sequences in order from fastest running times to slowest. (a)…

Q: 23. Find the power set of each of these sets, where a and b are distinct elements. a) {a} b) {a, b}…

A:

Q: VII.1. Describe the set (R × Z) ∩ (Z × R)

A: We have to describe the set (R × Z) ∩ (Z × R).

Q: 1. Find n(AUB) for each pair of sets described. a) n(A)-10, n(B)-8, a(4B)-4 b) n(A)-7, n(B)-12. ACB

A: Given that

Q: 2. Prove Lemma: For all sets A, B, and C, A x (BnC) = (A × B)n (A × C)

A:

Q: Let the set S= -8,-¹, 0, 2, 0.21, 2 following sets. i) ii) iii) π ST {xx is a natural number}. = {x:…

A:

Q: 3) If dla + b, then dla or d\b. a) True b) False D a) True O b) False

A: 3 We have to check whether the given statement, "If d|a+b then d|a or d|b" is true or false. Counter…

Q: c) [5 marks] Let A, B be any two sets. Prove that if A C B, then An B = 4.

A: * The intersection of complementary sets is empty.

Q: Let A = {-1,2,-1, 12 + 1} and let B = {-1,2, 13}. a) |A U B| = %3D b) |An B| = c) |A – B| = %3D d)…

A: