Find which of the following sets are empty :

(i) The set of points of intersection of two parallel lines.

(ii) A = {x : x ∈ N and 5 < x ≤ 6}.

(iii) B {x : x² + 4 = 0 and x ∈ N}.

(iv) C = {even numbers between 6 and 10}.

(v) D = {prime numbers between 7 and 11}.

Are the sets A = {4, 5, 6} and
B = {x : x² - 5x - 6 = 0} disjoint ?

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}