(g) Let S = {(1, y) = U² | 1 ‡ y}. Calculate |S|. (h) Let T = {(z,y) € C² [5 ≤ 1+ y ≤ 8}. List all elements of T. (i) List all partitions of C that contain {1,7} as a block.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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}
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}
(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.
Transcribed Image Text:(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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