(c) A \ B = A \ (An B). (d) A = (ANB) U (A \ B).
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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Please show steps clearly. I only need c and d thank you.
![(18) Let A and B be sets. Prove the following:
(a) A C B if and only if AU B = B.
(b) A C B if and only if An B = A.
(c) A \ B =A\ (An B).
(d) A = (An B) U (A \ B).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf24fe0a-0da7-4e45-9e5d-fa69e5b3ec9c%2F95365c5d-5b72-4769-9040-cf8086cfecec%2F2hov26b_processed.png&w=3840&q=75)
Transcribed Image Text:(18) Let A and B be sets. Prove the following:
(a) A C B if and only if AU B = B.
(b) A C B if and only if An B = A.
(c) A \ B =A\ (An B).
(d) A = (An B) U (A \ B).
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