2. (Sets) Given the universal set U= {n € N |1SnS 10), and the sets A= {n €U |n is the square of an integer). B= {n €U | n is even or prime), please (a) List all elements of A. (b) List all elements of B. (c) Let E be the set containing all even mumbers (in U), and P be the set containing all prime numbers (in U). Write B in terms of E and P, using unions, intersections, and complements (if necesary). (d) Verify the statement (An By - AUB. (List all elements of all relevant sets.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. (Sets) Given the universal set U = {n €N|1sns 10}, and the sets
A = {n €U|n is the square of an integer)}.
B= {n €U | n is even or prime),.
please
(a) List all elements of A.
(b) List all elements of B.
(c) Let E be the set containing all even numbers (in U), and P be the set containing all
prime numbers (in U). Write B in terms of E and P, using unions, intersections, and
complements (if necessary).
(d) Verify the statement (An B) = AUB. (List all elements of all relevant sets.)
Transcribed Image Text:2. (Sets) Given the universal set U = {n €N|1sns 10}, and the sets A = {n €U|n is the square of an integer)}. B= {n €U | n is even or prime),. please (a) List all elements of A. (b) List all elements of B. (c) Let E be the set containing all even numbers (in U), and P be the set containing all prime numbers (in U). Write B in terms of E and P, using unions, intersections, and complements (if necessary). (d) Verify the statement (An B) = AUB. (List all elements of all relevant sets.)
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