Question 5. Let A = {3r + 5s +8t| r, s, t € N, r = s+t} B = {3r + 5s +8t| r, s, t € N, r‡s+t} C = {n EN|0 ≤ n ≤ 12} Find the following (a) An C (b) Bn C (c) (AY B) nC

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 15E
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Question 5.
Let
A = {3r + 5s +8t| r, s, te N,r=s+t}
B = {3r + 5s +8t| r, s, t € N, r‡s+t}
C = {n EN|0 ≤ n ≤ 12}
Find the following
(a) Anc
(b) Bn C
(c) (AUB) nc
Transcribed Image Text:Question 5. Let A = {3r + 5s +8t| r, s, te N,r=s+t} B = {3r + 5s +8t| r, s, t € N, r‡s+t} C = {n EN|0 ≤ n ≤ 12} Find the following (a) Anc (b) Bn C (c) (AUB) nc
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