Let U be as in question 6. Let D = {1, 3, 5, 7} E =...
Let U be as in question 6. Let D = {1, 3, 5, 7} E = {2, 4, 6, 8} and F = {1, 2, 3}. For the following questions state whether each statement is true or false
a.)D and E are disjoint.
b.)D and E are complimentary.
c.)9 ∈ D
d.)D ∩ DC = ∅
Homework Answers
Let U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = (1,...
Let U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = (1, 3, 5, 7, 9), 8 (2, 4, 6, 8, 10), and C (1, 2, 3, 4, 5, 10). List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or for the empty set.) (a) 4 {2, 4, 6, 8, 10) (Đ) 1 0 0 {2,4, 10) X (1) cuc {}
08. (3+2+1+1=7 marks) Let (E, d) be a metric space and let A be a non-empty...
08. (3+2+1+1=7 marks) Let (E, d) be a metric space and let A be a non-empty subset of E. Recall the distance from a point x e E to A is defined by dx, A) = inf da, a).. a. Show that da, A) - dy, A) <d(x,y)Vxy e E. Let U and V be two disjoint and closed subsets of E, and define f: E- dz,U) R by f(x) = 0(2,U) + d(«,V) b. Show that f is continuous...
Let A = {1, 2}, B = {3, 5, 6}, C = {1, 2, 3, 5,...
Let A = {1, 2}, B = {3, 5, 6}, C = {1, 2, 3, 5, 7}, D = {4, 7, 9}, and U = {1, 2, 3, . . . , 9, 10}. 1. Find B ∪ C. 2. Find B ∩ C. 3. Find A ∪ B. 4. Find C ∩ D. 5. Find C'. 6. Find B'. 7. Is 4 ∈ C? 8. Is B ⊆ C? 9. Is A ⊆ C? 10. Are A and B...
(1 point) Let f be a permutation on the set {1, 2, 3, 4, 5, 6,...
(1 point) Let f be a permutation on the set {1, 2, 3, 4, 5, 6, 7, 8, 9), defined as follows f= 1 2 3 4 5 6 7 8 9 1 2 5 8 3 9 4 6 7 (a) Write the permutation f7 as a product of disjoint cycles, separated by commas (e.g. (1, 2), (3,4,5),...). Do not include 1-cycles (e.g. (2) ) in your answer. (b) Determine the smallest value of k > O such that...
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} be the universal...
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} be the universal set. Consider the two subsets A = {0, 2, 4, 6, 8} and B = {0,3,6,9}. Use the roster method to write each of the following sets (a) AUB. (b) An B. (c) AC. (d) (AUB) – AC
Q9 6. Define Euclidean domain. 7. Let FCK be fields. Let a € K be a...
Q9
6. Define Euclidean domain. 7. Let FCK be fields. Let a € K be a root of an irreducible polynomial pa) EFE. Define the near 8. Let p() be an irreducible polynomial with coefficients in the field F. Describe how to construct a field K containing a root of p(x) and what that root is. 9. State the Fundamental Theorem of Algebra. 10. Let G be a group and HCG. State what is required in order that H be...
Let Xn z e Zz nk for some k ezy (İs It (mu. Possibly D. P 5. (4 points of 100) Is 4 E X24? False C. True 6. (4 points of 100) Is 4 e (X3n X4)? False C. Possibly D. True 7. (4 points of 100)Is 4 E...
Let Xn z e Zz nk for some k ezy (İs It (mu. Possibly D. P 5. (4 points of 100) Is 4 E X24? False C. True 6. (4 points of 100) Is 4 e (X3n X4)? False C. Possibly D. True 7. (4 points of 100)Is 4 E (X3 U X4)? A) True B. False C. Possibly D. 8. (4 points of 100) What is (X3 n X4)? 9. (4 points of 100) What is (X2nXanxs)?
Let Xn...
1. Let sample space S={1, 2, 3, 4, 5, 6}. Is it this a true or...
1. Let sample space S={1, 2, 3, 4, 5, 6}. Is it this a true or false statement : event C{1,2,3} and D={4,5,6} are both mutually exclusive and collectively exhaustive? My teacher said this is True please explain why in a picture and explanation 2.Let sample space S={1, 2, 3, 4, 5, 6}. Is it this a true or false statement : event E={3,4,5} and F={1,2,3} do not form a partition? My teacher said this is True please explain why...
8 α = (д 1 9 2 5 3 4 5 10 3 6 7 86...
8 α = (д 1 9 2 5 3 4 5 10 3 6 7 86 9 10 2 7 10) 1 4 1 в = (1, 2 3 3 5 4 8 5 2 6 9 7 7 8 4 9 6 10 1 10) 10 8 ү 1 3 2 7 3 9 4 5 1 5 6 7 8 2 9 4 19) 10 1 ө ( 42 2 4 5 4 6 5 2 6 7...
please help me with what you can, my teacher didn’t explain this well enough and i...
please help me with what you can, my teacher didn’t explain
this well enough and i don’t ynderstand it.
Tell whether the statement is true or false 1) 8 e(16, 24, 32,40,48) True B) False 2) (4, 10, 14) -(0,4,10,14) A) True B) False Insert"" or "d" in the blank to make the statement true. 3) 14, 6, 8) (3,4,5,6, 8) B) g 4) (0, 6) (4,6) A)s B) c A) c B) g Let A- (1, 3,5, Th: B-(5,...
Let U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = (1, 3, 5, 7, 9), 8 (2, 4, 6, 8, 10), and C (1, 2, 3, 4, 5, 10). List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or for the empty set.) (a) 4 {2, 4, 6, 8, 10) (Đ) 1 0 0 {2,4, 10) X (1) cuc {}
08. (3+2+1+1=7 marks) Let (E, d) be a metric space and let A be a non-empty subset of E. Recall the distance from a point x e E to A is defined by dx, A) = inf da, a).. a. Show that da, A) - dy, A) <d(x,y)Vxy e E. Let U and V be two disjoint and closed subsets of E, and define f: E- dz,U) R by f(x) = 0(2,U) + d(«,V) b. Show that f is continuous...
(1 point) Let f be a permutation on the set {1, 2, 3, 4, 5, 6, 7, 8, 9), defined as follows f= 1 2 3 4 5 6 7 8 9 1 2 5 8 3 9 4 6 7 (a) Write the permutation f7 as a product of disjoint cycles, separated by commas (e.g. (1, 2), (3,4,5),...). Do not include 1-cycles (e.g. (2) ) in your answer. (b) Determine the smallest value of k > O such that...
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} be the universal set. Consider the two subsets A = {0, 2, 4, 6, 8} and B = {0,3,6,9}. Use the roster method to write each of the following sets (a) AUB. (b) An B. (c) AC. (d) (AUB) – AC
Q9
6. Define Euclidean domain. 7. Let FCK be fields. Let a € K be a root of an irreducible polynomial pa) EFE. Define the near 8. Let p() be an irreducible polynomial with coefficients in the field F. Describe how to construct a field K containing a root of p(x) and what that root is. 9. State the Fundamental Theorem of Algebra. 10. Let G be a group and HCG. State what is required in order that H be...
Let Xn z e Zz nk for some k ezy (İs It (mu. Possibly D. P 5. (4 points of 100) Is 4 E X24? False C. True 6. (4 points of 100) Is 4 e (X3n X4)? False C. Possibly D. True 7. (4 points of 100)Is 4 E (X3 U X4)? A) True B. False C. Possibly D. 8. (4 points of 100) What is (X3 n X4)? 9. (4 points of 100) What is (X2nXanxs)?
Let Xn...
8 α = (д 1 9 2 5 3 4 5 10 3 6 7 86 9 10 2 7 10) 1 4 1 в = (1, 2 3 3 5 4 8 5 2 6 9 7 7 8 4 9 6 10 1 10) 10 8 ү 1 3 2 7 3 9 4 5 1 5 6 7 8 2 9 4 19) 10 1 ө ( 42 2 4 5 4 6 5 2 6 7...
please help me with what you can, my teacher didn’t explain
this well enough and i don’t ynderstand it.
Tell whether the statement is true or false 1) 8 e(16, 24, 32,40,48) True B) False 2) (4, 10, 14) -(0,4,10,14) A) True B) False Insert"" or "d" in the blank to make the statement true. 3) 14, 6, 8) (3,4,5,6, 8) B) g 4) (0, 6) (4,6) A)s B) c A) c B) g Let A- (1, 3,5, Th: B-(5,...
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