(a) |([10]² – {1,3} × {2, 5, 6}) — {5, 7, 9} × {8, 10}|.
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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Question
![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)|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1e1b415-86bd-4a44-8122-cfbfb1e8f6ee%2F93a77edd-978c-4843-b037-38a505b11f39%2Fyv86ivh_processed.png&w=3840&q=75)
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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