State whether each of the following sets is a finite set or an infinite set :

(i) The set of multiples of 8.

(ii) The set of integers less than 10.

(iii) The set of whole numbers less than 12.

(iv) {x : x = 3n - 2, n ∈ W, n ≤ 8}

(v) {x : x = 3n - 2, n ∈ Z, n ≤ 8}

(vi) ${\Big{x : x = \dfrac{n - 2}{n + 1}, n ∈ W\Big}}$

Answer whether the following statements are true or false. Give reasons.

(i) The set of even natural numbers less than 21 and the set of odd natural numbers less than 21 are equivalent sets.

(ii) If E = {factors of 16} and F = {factors of 20}, then E = F.

(iii) The set A = {integers less than 20} is a finite set.

(iv) If A = {x : x is an even prime number}, then set A is empty.

(v) The set of odd prime numbers is the empty set.

(vi) The set of squares of integers and the set of whole numbers are equal sets.

For sets A and B, where A = {2, 4, 6} and B = {1, 3, 5, 7}, A ∩ B is :

1. ϕ

2. {0}

3. {1, 2, 3, 4, 5, 6, 7}

4. none of these

If set A = {4, 6, 8} and set B = {0}, then A ∪ B is :

1. {4, 6, 8}

2. {4, 6, 8, 0}

3. { }

4. none of these