1. Describe the following sets in words: 1.a The set \{2, 4, 6, 8\} consists of the first four positive even numbers. 1.b The set \{2, 4, 6, 8, ...\} represents all positive even numbers starting from 2 and continuing indefinitely. 1.c The set \{1, 4, 9, 16, 25, ...\} contains the squares of the natural numbers: 1 squared, 2 squared, 3 squared, 4 squared, 5 squared, and so on. 1.d The set \{Arctic, Atlantic, Indian, Pacific\} lists the names of the four major oceans. 2. Calculate the value of n(A) for each of the sets shown below: 2.a A = \{days of the week\} - There are 7 days in a week. - So, \(n(A) = 7\). 2.b A = \{prime numbers between 50 and 60\} - Prime numbers between 50 and 60 are 53 and 59. - So, \(n(A) = 2\). 2.c A = \{x: x \text{ is an integer and } 5 \leq x \leq 10\} - The integers are 5, 6, 7, 8, 9, 10. - Count: 6 numbers. - So, \(n(A) = 6\). 2.d A = \{days in a leap year\} - A leap year has 366 days. - So, \(n(A) = 366\). Final answers: - 1.a: First four positive even numbers. - 1.b: All positive even numbers starting from 2. - 1.c: Squares of natural numbers. - 1.d: Four major oceans. - 2.a: 7 - 2.b: 2 - 2.c: 6 - 2.d: 366