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D is the following set of dog breeds and G is the following set of games: D - (Greyhounds, Kelpies, Labradors, Mastiffs, Poodles) and G - (Ball, Chase. Hide and Seek. Tug] P. is a relation between D and G. which may be translated as "play", and is defined by the following subset of the Cartesian product D x G P-[(Kelpies, Ball). (Kelpies, Chase). (Kelpies, Hide and Seek), (Labradors, Ball), (Mastiffs, Ball). (Mastiffs, Tug). (Poodles, Ball), (Poodles, Chase)) (a) Name the dog breed described by: Ed E D, Vg E G.~ (dPg) (b) Is the following statement true? Enter Y for yes and N for no. Vo EG, 3d ED,dPg (c) State the number of elements in the set {d E D | ~ (d P Hide and Seek)}