Two sets A and B are nonempty disjoint subsets of a set S. If x e S, then which of the foll- (a) It's possible that x e ANB. (b) Ifx is an element of A, then x can't be an element of B. (c) Ifx is not an element of A, then x must be an element of B. (d) It's possible that x A and x¢ B. (e) For each nonempty set C, either x e AnC orx e BNC. (f) For some nonempty set C, both x e AUC and x e BUC.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Two sets A and B are nonempty disjoint subsets of a set S. If x e S, then which of the following are true?
(a) It's possible that x e ANB.
(b) Ifx is an element of A, then x can't be an element of B.
(c) If x is not an element of A, then x must be an element of B.
(d) It's possible that x ¢ A and x ¢ B.
(e) For each nonempty set C, eitherx e AnC orxe BNC.
(f) For some nonempty set C, both x e AUC and x e BUC.
Transcribed Image Text:Two sets A and B are nonempty disjoint subsets of a set S. If x e S, then which of the following are true? (a) It's possible that x e ANB. (b) Ifx is an element of A, then x can't be an element of B. (c) If x is not an element of A, then x must be an element of B. (d) It's possible that x ¢ A and x ¢ B. (e) For each nonempty set C, eitherx e AnC orxe BNC. (f) For some nonempty set C, both x e AUC and x e BUC.
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