Given ξ= {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q}, P = {b, e, c, j, m, n}, R = {c, l, m, n, o} and S= {c, e, k, n, q }. Determine the following (all work must be shown): i) (P∪S)′ ii) (P∪R∪S)′ iii) (P∪S)′∩ (P ∪R)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given ξ= {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q}, P = {b, e, c, j, m, n}, R = {c, l, m, n, o} and S= {c, e, k, n, q }.

Determine the following (all work must be shown):

i) (P∪S)′

ii) (P∪R∪S)′

iii) (P∪S)′∩ (P ∪R)

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