Math G Homework Problems due 9/10/08

Show all steps and explanations for full credit.

1) Given the sets A = {1, 2, 3, 4, 5, 6, 7} B = {2, 4, 6, 8, 10, 12} find

a) n(A) and n(B) b) A ∩B and A ÈB

c) Can you calculate the complement of A ? Explain

2) A survey of country western songs produces the following information about the common themes of love, prison and trains.

11 songs about a traindriver who was in prison and in love

14 about a prisoner in love

31 about people in love

17 about a traindriver in love

4 about a traindriver i8n prison but not in love

1 about a prisoner who is not in love and does not drive a train

19 about people not in prison, not in love and who don’t drive a train

17 about traindrivers who are not in prison.

Draw a Venn diagram and use it to find how many songs were surveyed.