Let U = {n € N|n< 10} be the universe of discourse. Define the subsets A, B, and C of U as follows. Let A be the set of all prime numbers less than 10. Let B be the set of all non-negative even numbers less than 8 and let C be the set of all non-negative odd numbers less than or equal to 8. Determine the following sets. U = А — В %3 A = В —С %3 B = AUC= С - AnB = BC U C° = AnC = ANBNC= BNC = AUBUC =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let U = {n E N|n< 10} be the universe of discourse. Define the subsets A, B, and C
of U as follows. Let A be the set of all prime numbers less than 10. Let B be the set of all
non-negative even numbers less than 8 and let C be the set of all non-negative odd numbers
less than or equal to 8. Determine the following sets.
%3D
U =
А — В %-
A =
B – C =
В -С %3
В -
AUC =
C =
An B =
BC U C° =
AnC =
ANBNC=
BnC =
AUBUC =
Transcribed Image Text:Let U = {n E N|n< 10} be the universe of discourse. Define the subsets A, B, and C of U as follows. Let A be the set of all prime numbers less than 10. Let B be the set of all non-negative even numbers less than 8 and let C be the set of all non-negative odd numbers less than or equal to 8. Determine the following sets. %3D U = А — В %- A = B – C = В -С %3 В - AUC = C = An B = BC U C° = AnC = ANBNC= BnC = AUBUC =
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