3. Consider the following definitions of some sets: U = {1,2,. 12} ACU where a E A if and only if a is a prime number. B = {a | a € U and 3k E N such that a = 2k + 1} C= {a | a € U and 3k EN such that a = 2k} Note: N starts from 0 and U is the universe. Find all sets obtained from the following operations: a. (AUB)nC b. (A'n B)\C c. (AUB)' n C

3. Consider the following definitions of some sets: U = {1,2,. 12} ACU where a E A if and only if a is a prime number. B = {a | a € U and 3k E N such that a = 2k + 1} C= {a | a € U and 3k EN such that a = 2k} Note: N starts from 0 and U is the universe. Find all sets obtained from the following operations: a. (AUB)nC b. (A'n B)\C c. (AUB)' n C

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

3. Consider the following definitions of some sets:
U = {1,2, .. 12}
AC U where a e A if and only if a is a prime number.
B = {a | a € U and 3k e N such that a = 2k + 1}
C = {a | a € U and 3k e N such that a = 2k}
Note: N starts from 0 and U is the universe.
Find all sets obtained from the following operations:
a. (AUB)nC
b. (A' n B)\C
c. (AUB)' n C

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