Question 4. elements a, b, and c are distinct) Explain your answer. Which of the following are power sets? (Assume the (d) {0, {a}, {0, {a}}} (e) {0, {a}, {b}, {a, b}} (f) {0, {a, b}, {a,c}, {b,c}}

Q: For two sets A and B, if A=B, then (i) A and B have the same elements (ii) ACB and BCA (iii) x €…

A: Here we have to find the properties of two sets A and B is A= B.

Q: Question 2 Let A = {a, b, c, d}, B = {a, b, c} and C = {a, d, e, f}. Choose the elements of the set…

A: The objective of the first question is to find the intersection of the set difference (A - B) and…

Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: Let A (k,s), t.en the power set of A is:

A: Set of all subsets of A is called power set of A.

Q: 1. Let A = {a, x, c) and B = {b, x, d}. Write down an element of each of th following sets: (a) (An…

A:

Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

A:

Q: 18 Let U={1,2,3,4,9}, A={2,3}, and B={4,9}. In each of the following questions, find the indicated…

A:

Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

A:

Q: (a) (4, 5, 6, 7, 8} O The elements are 4, 5, 6, 7, and 8. O The elements are 4, 5, 6, 7, 8, and 0. O…

A: Identify the elements of each set.  Set (a) = { 4,5,6,7,8} Set (b) = {0}

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: Question 4. elements a, b, and c are distinct) Explain your answer. (a) Ø (b) {0, {a}} (c) {Ø, {a},…

A: The power set of a set S is the set of all subsets of S, including the empty set and S itself. In…

Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: We use the definition of the size of a set to find the number of elements in the set B. The size of…

Q: {3,5,6,7,9} (a) State A in standard roster form. A =. (b) Let B := A n{1,2,3,4,5, 6, 7,8}. State B…

A: Given A={3,5,6,7,9} B=A∩{1,2,3,4,5,6,7,8} (b) To state Bin the roster form. (c) To calculate…

Q: Question 2 Let A = {a, b, c, d}, B = {a, b, c} and C = {a, d, e, f}. Choose the elements of the set…

A: The objective of the first question is to find the intersection of the set difference (A - B) and…

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: 10) n(A v B) = n(A) + n(B) – n(A ^ B) %3D A) True B) False

A: Given A=q,s,u,w,yB=q,s,y,z

Q: Is {4, 5} c S, where S is the powerset of {2, 3, 4, 5, 6}?

A: