(1) Let U = {1, 2, 3, ... , 9, 10} be the universal set. Let A = {x € U : x = 1 (mod 3)} and B = {x € U : x = 2 (mod 5)}. Identify the following sets and compute their cardinality. (a) A (b) ANB (c) AUB (d) А — В (е) Ах В %3D -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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 Please explain how to figure out sets A and B elements. I do not understand what "congruency" and "mod" mean.

(1) Let U = {1, 2, 3, ... , 9, 10} be the universal set. Let A = {x € U : x = 1 (mod 3)}
and B = {x E U : x = 2 (mod 5)}. Identify the following sets and compute their
cardinality.
(a) A
(b) ANB
(c) AUB
(d) А — В
(е) Ах В
%3D
-
Transcribed Image Text:(1) Let U = {1, 2, 3, ... , 9, 10} be the universal set. Let A = {x € U : x = 1 (mod 3)} and B = {x E U : x = 2 (mod 5)}. Identify the following sets and compute their cardinality. (a) A (b) ANB (c) AUB (d) А — В (е) Ах В %3D -
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