Answer to Question #299302 in Discrete Mathematics for Baye

Question

. 1. Let D = {3, 9, 15}, E = {3, 15, 9}, F = {3, 3, 9, 15, 15, 15}. What are the elements of D, E, and F? How are D, E,         

   and F related? 

   2. How many elements are in the set {1, {2}, [1, 2}}?

  3. For each positive integer p, let Bp = {p2, p3,]. Find B1, B2, and B3.

Answer 1

1)

What are the elements of D, E, and F?

Elements of D = 3,19,15

Elements of E = 3,15,19

Elements of F = 3, 3,9, 15, 15

How are D, E,  and F related?       

  They both comprise of elements which are divisible by three.

2)

1 is an element, {2} is an element, [1,2} is an element .

Hence,we conclude that there are three elements.

3) since Bp consists of two elements, the power set = 2² = 4 elements

Thus B1 = { p2]

B2 = {P3]

B3= {P2,P3]