Coursework 1 Example | Topics and Well Written Essays - 1000 words

1 - Coursework Example 3. Using the data from the Venn Diagram below, 7 movies on DVD had fights but not explosions or car crashes. ( U = {movies on DVD collection}, C = {movies with car crashes}, F = {movies with fights}, E = {movies with explosions}) 4. (a) Since we have 3 sets in discussion, the membership table that we shall be using requires 23=8 rows. Each of these rows represents a unique combination of possible membership values. (1 = the element is a member of the corresponding set, 0 = the element is not a member) To find out if the two sets A U (B ∠© C) and A ∠© (B U C) are equal, we look at their corresponding columns and see if corresponding rows have the same values. The membership table clearly shows that the 5th and 7th columns do not have the same entries in corresponding rows, thus the two sets are not equal. This example seems to contradict the previous conjecture that A U (B ∠© C) and A ∠© (B U C) are not equal. However, as we can see from the membership table, this example simply illustrates one of the cases when the two sets are