Use ⊆ notation to indicate which set is a subset of the other in Problems. D = {a, e, 1, 3, c}, F = {e, a, c, 1, 3}

Given the following sets: U={3,5,7,8,9,10,11,12,13,14,16}U={3,5,7,8,9,10,11,12,13,14,16} A={3,8,9,11,14};B={3,8,9,10,11,14,16};C={3,10}A={3,8,9,11,14};B={3,8,9,10,11,14,16};C={3,10} and knowing that    UU   is the Universal Set (i.e., the set of all elements under consideration), answer the following questions. Enter your answer as    {a,b,c,d,e}{a,b,c,d,e}   with no space entered before or after each comma, and where the letters represent appropriate set elements provided above. a)  ¯¯ A∪C¯¯=  b)    C¯¯∩(B∩A)=  c)  ¯¯¯B∩C¯¯¯=  d)   A¯¯¯∩B= For the following questions, enter  true   or   false, without capitalizing the first letter.            e)      Is      A⊆B       a  true  or  a   false  statement?  f)       Is      B⊆A       a  true  or  a   false  statement?  g)       Is      B⊆U       a  true  or  a   false  statement?  h)       Is      C⊆A       a  true  or  a   false  statement?  i)       Is      C⊆B      a  true  or  a   false  statement?

Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. a. How many subsets of A are there? That is, find |P(A)|. b. How many subsets of A contain exactly 5 elements? c. How many subsets of A contain only even numbers? d. How many subsets of A contain an even number of elements?

3. Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6} and D = {4, 6, 8}. Determine which of these sets are subsets of which other of these sets. Write your answers using the notation for subset. 4. Suppose that A = {2, 4, 6}, B = {2, 6}, C = {2, 2, 6, 2, 6}, D = {8, 6, 4}, and E = {8}. Determine which of these sets are proper subsets of which other of these sets. Write your answers using the notation for proper subset.

Suppose that A = {2,4, 6}, B = {2,6}, C = {4, 6} and D = {4,6, 8}. Determine which of these sets are subsets of which other of these sets. Check ALL correct answers below. ОА. ВС А O B. DC B OC. ACD OD. DCA O E. CCA OF. ACB OG. ACC OH. CC D O1. BC D OJ. BCC OK. DCC

2. Let A {a, e, g, i, s}, B = {g, i, m, o, p, y}, and C = {a,b, o, r, t}. Find each of the following sets. Use { } notation to write your answer. (a). Anc= = (b). AUC= (c). An (B-C) =

Suppose that A = {2,4, 6}, B = {2,6}, C = {4, 6} and D = {4,6,8}. Determine which of these sets are subsets of which other of these sets. Check ALL correct answers below. ОА. В С А OB. DC B OC. ACD OD. DC A O E. CCA OF. ACB OG. ACC OH. CC D O1. BC D OJ. BCC OK. DCC Submit answer