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3. Let A = {a, b, c, d, e}. Let B = {m, n, o}. Let C = {a, c, f}. Find the following. (a) AUBUC (b) BnA (c) B² (d) P(B) (e) AUCN0 (f) P(C) UP(B- (g) P(P(P(C)))| (h) AUBU 4. Show that if X, Y, and Z are sets, then (XY)nz = (Xnz)u(Ỹnz). You cannot do this proof with set equivalencies.

3. Let A = {a, b, c, d, e}. Let B = {m, n, o}. Let C = {a, c, f}. Find the following. (a) AUBUC (b) BnA (c) B² (d) P(B) (e) AUCN0 (f) P(C) UP(B- (g) P(P(P(C)))| (h) AUBU 4. Show that if X, Y, and Z are sets, then (XY)nz = (Xnz)u(Ỹnz). You cannot do this proof with set equivalencies.

Advanced Engineering Mathematics
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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This is Discreet math please answer questions with proper formatting for proofs
3. Let A = {a, b, c, d, e}. Let B = {m, n, o}. Let C = {a, c, f}. Find the following. (a) AUBUC (b) BnA (c) B² (d) P(B) (e) AUCN0 (f) P(C) UP(B − (g) P(P(P(C)))| (h) AUBU0 4. Show that if X, Y, and Z are sets, then (XY)nz = (Xnz)u(Ynz). You cannot do this proof with set equivalencies.
Transcribed Image Text:3. Let A = {a, b, c, d, e}. Let B = {m, n, o}. Let C = {a, c, f}. Find the following. (a) AUBUC (b) BnA (c) B² (d) P(B) (e) AUCN0 (f) P(C) UP(B − (g) P(P(P(C)))| (h) AUBU0 4. Show that if X, Y, and Z are sets, then (XY)nz = (Xnz)u(Ynz). You cannot do this proof with set equivalencies.
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