6. Let A, B, and C be sets. Verify the following (you can use a membership table) a) An (BUC) = (ANB) u (ANC) b) (B-A) U (C-A) = (BUC) - A

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and two orange…

A: Given,no.of red marbles=4no.of green mables=3no.of lavender marbles=1no.of yellow marbles=3no.of…

Q: Let A = {1, 3, 5, 7, 9), B = {3, 6, 9), and C = (2, 4, 6, 8). Find each of the following. (Express…

A: Given sets: A=1,3,5,7,9 B=3,6,9 C=2,4,6,8 Find: a) A∪B b) A∩B c) A∪C d) A∩C e) A-B f) B-A g) B∪C h)…

Q: Are the sets equivalent? A= (15, 16, 17, 18, 19) B=(14, 15, 16, 17, 18) %3D O Yes ONo

A:

Q: 33. Write (2, 4, 6, 8) in set-builder notation.

A:

Q: 1) Let A = {1,2,3,4,5} Determine whether the statements are true or false. a. 2ЄA b. A is a subset…

A: A = {1, 2, 3, 4, 5}a. 2  A   This means 2 is in the set A.    Obviously this is True. b. A is a…

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A: My approach is the I break into 2 disjoint part and take cardinality(number of element) of every…

Q: Let U = {0,1,2,3,4,5,6,7,8,9,10}; A down the elements in the following sets. (a) AUB (b) BUC (c) BC…

A: Let .To write the down the elements  in the following sets.Note: Since, the student has posted a…

Q: work out the problems refering to the sets:

A: Since there is no problem then I will just describe the sets base on the Universal set.(Note: this…

Q: Let A be the set of letters in the word "information" and B be the set of letters in the word…

A:

Q: 2. Let A = notation. {a,b,c}, B = {1,2}, C = {X, Y}. Write out the indicated set in list (A x B) x C

A: For given A, B, C set we have to find the value of (A x B) x C.

Q: 5. Аx (В — С) %3D (А х В) — (А хС) 6. (А - В) хС %3 (АxC) — (В хС)

A: To prove the given statements.

Q: Statement (11, 13, 15) Z (11, 12, 13, 14, 15} (7,9} Ø {c, d, f, g} = {d, fr (q, r, w) C (q, r, w}…

A: Introduction: Set A is said to be a subset of Set B if all the elements of Set A are also present in…

Q: Find (a) the number of subsets and (b) the number of proper subsets of the following set.…

A: X={a,b,c,d,e,f,g,h} We have to find the number of subsets of X and the number of proper subsets.

Q: Find, if possible, the number of elements in sets A, B, and C using the given information. If there…

A: Principle of Inclusion and Exclusion is an approach which derives the method of finding the number…

Q: prove the following statement If A, B, and C are sets, then A - (BnC) = (A - B) U (A - C). Suppose…

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Q: Let U = {0,1,2,3,4,5,6,7,8,9,10}; A down the elements in the following sets. (a) AUB (b) BUC (c) BC…

A: Note: According to the guidelines we are allowed to solve three subparts at a time. Please post rest…

Q: Let A = {a,b,c,d,e}, B = {a,b,c,d,e,f,g,h}, and U represents a Universal Set of…

A: