ID is the number 01238586, then as an array of single-digit integers. For example, if your Consider your ID: 80234527 it represents the array S=(0,1,2,3,8,5,8,6). Index the array from the left, starting with index 1, using the notation S[i], 1≤i≤8. For example, S[1] = 0 and S[8] = 6. From your ID, create three sets. For example, if you Set A={S(1), S(2), S(3)}, set B={S(4), S(5), S(6)}, and set C={S(7), S(8)} ID is the number 01238586, then your three sets are: A = {0,1,2}, B = {3,8,5}, C = {8,6} ID, evaluate each of the following statements to see if they are true or false. Using sets, A, B, and C, determined by your a. (A − B) – C = A - (B − C) b. (CCB) V (CA) c. A- (BNC) = (A − B) n (A − C) d. |AUBUC| = | A | + |B| + |C| − |AnBnC| Your answer only needs to state your evaluation: (a.) is true (or false), (b.) is true (or false), (c.) is true (or false), (d.) is true (or false). 80234527

Elements Of Modern Algebra
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ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 12E: Suppose that the check digit is computed as described in Example . Prove that transposition errors...
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ID: 80234527

ID is the number 01238586, then
as an array of single-digit integers. For example, if your
Consider your ID: 80234527
it represents the array S=(0,1,2,3,8,5,8,6). Index the array from the left, starting with index 1, using the notation S[i], 1≤i≤8. For
example, S[1] = 0 and S[8] = 6.
From your
ID, create three sets.
For example, if you
Set A={S(1), S(2), S(3)}, set B={S(4), S(5), S(6)}, and set C={S(7), S(8)}
ID is the number 01238586, then your three sets are:
A = {0,1,2}, B = {3,8,5}, C = {8,6}
ID, evaluate each of the following statements to see if they are true or false.
Using sets, A, B, and C, determined by your
a. (A − B) – C = A − (B − C)
b. (CCB) V (CA)
80234527
c. A − (BNC) = (A − B) n (A − C)
d. |AUBUC| = | A | + |B| + |C| − |AnBnC|
Your answer only needs to state your evaluation: (a.) is true (or false), (b.) is true (or false), (c.) is true (or false), (d.) is true (or false).
Transcribed Image Text:ID is the number 01238586, then as an array of single-digit integers. For example, if your Consider your ID: 80234527 it represents the array S=(0,1,2,3,8,5,8,6). Index the array from the left, starting with index 1, using the notation S[i], 1≤i≤8. For example, S[1] = 0 and S[8] = 6. From your ID, create three sets. For example, if you Set A={S(1), S(2), S(3)}, set B={S(4), S(5), S(6)}, and set C={S(7), S(8)} ID is the number 01238586, then your three sets are: A = {0,1,2}, B = {3,8,5}, C = {8,6} ID, evaluate each of the following statements to see if they are true or false. Using sets, A, B, and C, determined by your a. (A − B) – C = A − (B − C) b. (CCB) V (CA) 80234527 c. A − (BNC) = (A − B) n (A − C) d. |AUBUC| = | A | + |B| + |C| − |AnBnC| Your answer only needs to state your evaluation: (a.) is true (or false), (b.) is true (or false), (c.) is true (or false), (d.) is true (or false).
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