State whether the following pairs of sets are equivalent or not :

(i) A = {x : x ∈ N and 11 ≥ 2x - 1} and
    B = {y : y ∈ W and 3 ≤ y ≤ 9}.

(ii) Set of integers and set of natural numbers.

(iii) Set of whole numbers and set of multiples of 3.

(iv) P = {5, 6, 7, 8} and M = {x : x ∈ W and x ≤ 4}.

State whether the following pairs of sets are equal or not :

(i) A = {2, 4, 6, 8} and B = {2n : n ∈ N and n < 5}

(ii) M = {x : x ∈ W and x + 3 < 8} and N = {y : y = 2n - 1, n ∈ N and n < 5}

(iii) E = {x : x² + 8x - 9 = 0} and F = {1, -9}

(iv) A = {x : x ∈ N, x < 3} and
B= {y : y² - 3y + 2 = 0}

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.

A set P has 3 elements. The number of proper subsets of set B is :

1. 3 x 2 = 6

2. 8

3. 9

4. 7