Questions: Question 22 of 22 (1 point) I Question Attempt: 1 of Unlimited A certain animal shelter has several animal types. We'll call the set of these animal types U. Two veterinarians treated certain animal types yesterday. Let M be the set of animal types treated by Dr. Morgan. Let G be the set of animal types treated by Dr. Gray. Use the Venn diagram to write the descriptive and roster forms of the sets below (a) Set: M ∩ G - Descriptive form: (Choose one) - Roster form: (b) Set: (G ∩ M)′ - Descriptive form: (Choose one)

Solution Steps

• Set M (animals treated by Dr. Morgan): snakes, birds, mice
• Set G (animals treated by Dr. Gray): birds, mice, turtles, dogs, gerbils

• The intersection \( M \cap G \) includes animals treated by both Dr. Morgan and Dr. Gray.
• Intersection: birds, mice

• Descriptive form: The set of animals treated by both Dr. Morgan and Dr. Gray.
• Roster form: {birds, mice}

• The complement \( (G \cap M)' \) includes all animals in the universal set \( U \) that are not in the intersection \( M \cap G \).
• Universal set \( U \): cats, fish, rabbits, snakes, birds, mice, turtles, dogs, gerbils
• Complement: cats, fish, rabbits, snakes, turtles, dogs, gerbils

• Descriptive form: The set of animals not treated by both Dr. Morgan and Dr. Gray.
• Roster form: {cats, fish, rabbits, snakes, turtles, dogs, gerbils}

Final Answer