
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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
Transcribed Image Text:10. Prove that for subsets X, Y, and Z of a given universal set U
(a) X-Y=X-(XY)= (XUY) -Y
(b) (X-Y)-Z=X - (YUZ)
(c) X-(Y-Z) = (X-Y)U(Xnz)
(d) (XUY) -Z=(X-Z) U(Y - Z)
(e) X-(YUZ) =(x-Y)^(X-Z)
Illustrate each case on a Venn diagram.
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