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(a) |([10]² – {1,3} × {2, 5, 6}) — {5, 7, 9} × {8, 10}|.

(a) |([10]² – {1,3} × {2, 5, 6}) — {5, 7, 9} × {8, 10}|.

Advanced Engineering Mathematics
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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Find the following cardinalities (Do not list the elements of the sets). (Notation: A² = A × A, for any set A.) Show your work. (a) ([10]² - {1,3} × {2, 5, 6}) — {5,7,9} × {8, 10}|. - (b) ([10]2 {1,3,4,5} × {2, 5, 6, 7}) — {4, 5, 6, 7} × {2,7,8,9}|. - (c) |(([10]²[6]²) - {4, 5, 6, 7, 8, 9}²) - {1, 2, 4, 5, 7,8}². (d) |([10]² - {1,2,5, 6, 9, 10}²) – ({2, 3, 4, 5, 6, 7, 8, 9)² – {4, 5, 6, 7}²)|
Transcribed Image Text:Find the following cardinalities (Do not list the elements of the sets). (Notation: A² = A × A, for any set A.) Show your work. (a) ([10]² - {1,3} × {2, 5, 6}) — {5,7,9} × {8, 10}|. - (b) ([10]2 {1,3,4,5} × {2, 5, 6, 7}) — {4, 5, 6, 7} × {2,7,8,9}|. - (c) |(([10]²[6]²) - {4, 5, 6, 7, 8, 9}²) - {1, 2, 4, 5, 7,8}². (d) |([10]² - {1,2,5, 6, 9, 10}²) – ({2, 3, 4, 5, 6, 7, 8, 9)² – {4, 5, 6, 7}²)|
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