2. Let A = {1,2}, B = {2,4,5}, C = {1,3,5,7} be subsets of the universe U = {1, 2, 3, 4, 5, 6, 7} (a) Compute B x A. (b) Compute A³. (c) Determine P(B), the power set of B. (d) Compute B - C. (e) Compute An Bº. (f) Compute (AUB) nC. (g) Let S = {(1, y) = U² | x‡ y}. Calculate |S|. (h) Let T = {(x, y) = C² | 5 ≤ x + y ≤ 8}. List all elements of T. (i) List all partitions of C that contain {1,7} as a block.
2. Let A = {1,2}, B = {2,4,5}, C = {1,3,5,7} be subsets of the universe U = {1, 2, 3, 4, 5, 6, 7} (a) Compute B x A. (b) Compute A³. (c) Determine P(B), the power set of B. (d) Compute B - C. (e) Compute An Bº. (f) Compute (AUB) nC. (g) Let S = {(1, y) = U² | x‡ y}. Calculate |S|. (h) Let T = {(x, y) = C² | 5 ≤ x + y ≤ 8}. List all elements of T. (i) List all partitions of C that contain {1,7} as a block.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please help me solve from part from part (g), (h) and (i). Kindly explain the steps involved. Thanks a lot.
Transcribed Image Text:2. Let A = {1,2}, B = {2,4,5}, C = {1,3,5,7)} be subsets of the universe U = {1, 2, 3, 4, 5, 6, 7}
(a) Compute B x A.
(b) Compute A³.
(c) Determine P(B), the power set of B.
(d) Compute Bº - C.
(e) Compute An Bº.
(f) Compute (AUB) nC.
(g) Let S = {(1, y) = U² | xy}. Calculate |S|.
(h) Let T = {(x, y) = C² | 5 ≤ x + y ≤ 8}. List all elements of T.
(i) List all partitions of C that contain {1,7} as a block.
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