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1. Let the universal set be Q2 = {0, 1, 2, ..., 7}. Let A denote the odd integers in 2, and B = {0, 1, 2, 3). What are the following: (f) Øc, (g) 1A (3) + 1B (3), where 1A (x) is the indicator function of A. That is, 1A = 1, for x € A; 0, for x # A. and Dc , then 1 cup (x) = 1c(x) + (h) Prove or disprove: If C C 1D(x). (i) Prove or disprove: If C C 22 and DC 2, then 1 CD (x) = 1c(x) 1D (x).

1. Let the universal set be Q2 = {0, 1, 2, ..., 7}. Let A denote the odd integers in 2, and B = {0, 1, 2, 3). What are the following: (f) Øc, (g) 1A (3) + 1B (3), where 1A (x) is the indicator function of A. That is, 1A = 1, for x € A; 0, for x # A. and Dc , then 1 cup (x) = 1c(x) + (h) Prove or disprove: If C C 1D(x). (i) Prove or disprove: If C C 22 and DC 2, then 1 CD (x) = 1c(x) 1D (x).

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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1. Let the universal set be 2 = {0, 1, 2, ..., 7}. Let A denote the odd integers in 2, and B = {0, 1, 2, 3}. What are the following: (f) Øc, (g) 1A (3) + 1 B (3), where 1A (x) is the indicator function of A. That is, 1A = 1, 0, for x € A; for x # A. (h) Prove or disprove: If Cc and Dc , then 1CUD (x) 1D (x). (i) Prove or disprove: If C C and D C , then 1 CD (x) = 1 c (x) 1D(x). = 1c(x) +
Transcribed Image Text:1. Let the universal set be 2 = {0, 1, 2, ..., 7}. Let A denote the odd integers in 2, and B = {0, 1, 2, 3}. What are the following: (f) Øc, (g) 1A (3) + 1 B (3), where 1A (x) is the indicator function of A. That is, 1A = 1, 0, for x € A; for x # A. (h) Prove or disprove: If Cc and Dc , then 1CUD (x) 1D (x). (i) Prove or disprove: If C C and D C , then 1 CD (x) = 1 c (x) 1D(x). = 1c(x) +
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