2. Let A = {1, 2, 3}, B = {n € P: n is even}, and C = {n EP:n is odd}. (a) Determine An B, BNC, BUC, and BC. (b) List all subsets of A. (c) Which of the following sets are infinite? A © B, A ¦ C, A \ C, C \ A.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
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Question
2. Let A = {1, 2, 3}, B = {n € P: n is even), and C
{ne P:n is odd}.
(a) Determine An B, BNC, BUC, and BC.
(b) List all subsets of A.
(c) Which of the following sets are infinite? A © B,
AC, A \ C, C \ A.
Transcribed Image Text:2. Let A = {1, 2, 3}, B = {n € P: n is even), and C {ne P:n is odd}. (a) Determine An B, BNC, BUC, and BC. (b) List all subsets of A. (c) Which of the following sets are infinite? A © B, AC, A \ C, C \ A.
Expert Solution
Step 1

2 Given that A=1,2,3, B=nP:n is even and C=nP:n is odd.

Here, B=2

And C=3,5,7,11,13,17,19,......

a We have to determine AB, BC, BC and BC.

AB=1,2,32=2

Hence, AB=2.

Now,

BC=23,5,7,11,13,17,19,.....=ϕ

Hence, BC=ϕ.

Now,

BC=23,5,7,11,13,17,19,.....=2,3,5,7,11,13,17,19,.....

Hence, BC=2,3,5,7,11,13,17,19,......

Now,

BC=BCCB=23,5,7,11,13,17,19,.....3,5,7,11,13,17,19,.....2=23,5,7,11,13,17,19,.....=2,3,5,7,11,13,17,19,.....

Hence, BC=2,3,5,7,11,13,17,19,......

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