1. Let A = {-30, -10, 10, 30, 50} and B = {-20, -10, 0, 10} be subsets of the universal set ε = {10x x € ZZ and -3≤ x <6}. (a) List the elements of An B and (AUB)'. (b) Evaluate: (i) │A\ B|; (ii) |A × B|; [1] (iii) |P(A)|; (iv) P(B) × P(A)|. [2] (c) Are the following statements are true or false? Explain your reasoning. (i) 0 СА; (ii) {0} = P(A); (iii) {10} E AUB; (iv) {10} is a proper subset of An B. (d) List the elements of P(A) P(B). [2] [2] (e) If the set C is also a subset of Ɛ, with |C| = 5, An C = {-10, 30} and BNC {-10, 20}, list the elements of C. = [2]
1. Let A = {-30, -10, 10, 30, 50} and B = {-20, -10, 0, 10} be subsets of the universal set ε = {10x x € ZZ and -3≤ x <6}. (a) List the elements of An B and (AUB)'. (b) Evaluate: (i) │A\ B|; (ii) |A × B|; [1] (iii) |P(A)|; (iv) P(B) × P(A)|. [2] (c) Are the following statements are true or false? Explain your reasoning. (i) 0 СА; (ii) {0} = P(A); (iii) {10} E AUB; (iv) {10} is a proper subset of An B. (d) List the elements of P(A) P(B). [2] [2] (e) If the set C is also a subset of Ɛ, with |C| = 5, An C = {-10, 30} and BNC {-10, 20}, list the elements of C. = [2]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1. Let A = {-30, -10, 10, 30, 50} and B = {-20, -10, 0, 10} be subsets of the
universal set ε = {10x x € ZZ and -3≤ x <6}.
(a) List the elements of An B and (AUB)'.
(b) Evaluate:
(i) │A\ B|;
(ii) |A × B|;
[1]
(iii) |P(A)|;
(iv) P(B) × P(A)|.
[2]
(c) Are the following statements are true or false? Explain your reasoning.
(i) 0 СА;
(ii) {0} = P(A);
(iii) {10} E AUB;
(iv) {10} is a proper subset of An B.
(d) List the elements of P(A) P(B).
[2]
[2]
(e) If the set C is also a subset of Ɛ, with |C| = 5, An C = {-10, 30} and
BNC {-10, 20}, list the elements of C.
=
[2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56349570-c850-4378-b43a-2d1a85030776%2Ff1bef111-ef02-44d5-8ad4-b7f01c3c579d%2Facytje_processed.png&w=3840&q=75)
Transcribed Image Text:1. Let A = {-30, -10, 10, 30, 50} and B = {-20, -10, 0, 10} be subsets of the
universal set ε = {10x x € ZZ and -3≤ x <6}.
(a) List the elements of An B and (AUB)'.
(b) Evaluate:
(i) │A\ B|;
(ii) |A × B|;
[1]
(iii) |P(A)|;
(iv) P(B) × P(A)|.
[2]
(c) Are the following statements are true or false? Explain your reasoning.
(i) 0 СА;
(ii) {0} = P(A);
(iii) {10} E AUB;
(iv) {10} is a proper subset of An B.
(d) List the elements of P(A) P(B).
[2]
[2]
(e) If the set C is also a subset of Ɛ, with |C| = 5, An C = {-10, 30} and
BNC {-10, 20}, list the elements of C.
=
[2]
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