4. Decide which of the given items satisfy the relation. a. a binary relation on S C, where S-states in the United States), C = {cities in the United States), b. a binary relation on A P, where A = {artists), P = {paintings), xpyx painted y; (DaVinci. c. a binary relation on C M, where C-composers), M-(music), xpy+x composed y; d. a binary relation on A B, where A = {authors), B = {books), xpyx wrote y; (Hemingway, xpyy is the capital of x; (Indiana, Indianapolis), (Illinois, Chicago), (Kansas, Kansas City), (Kentucky, Louisville), (North Dakota, Bismarck) Mona Lisa), (Grant Wood, American Gothic), (Remington, Ridden Down), (Picasso, Blue Dancers), (van Gogh, Starry Night) (Bernstein, West Side Story), (Presley, Blue Suede Shoes), (Gershwin, Rhapsody in Blue), (Beethoven, Moonlight Sonata), (Rogers and Hammerstein, Phantom of the Opera) The Old Man and the Sea), (Sawyer, Huckleberry Finn) (Poe, Moby Dick), (Orwell, 1984), (Tolstoy Crime and Punishment)