If A and B are two sets such that A ⊆ B then find:

(i) A ∪ B

(ii) A ∩ B

If R is the set of all real numbers and Q is the set of all rational numbers then what is the set (R – Q)?

If A = {2, 3, 5, 7, 11} and B = ϕ, find:

(i) A ∪ B

(ii) A ∩ B

Which of the following sets are pairs of disjoint sets? Justify your answer.

(i) A = {3, 4, 5, 6} and B = {2, 5, 7, 9}

(ii) C = {1, 2, 3, 4, 5} and D = {6, 7, 9, 11}

(iii) E = {x : x ϵ N, x is even and x < 8}

F = {x : x = 3n, n ϵ N, and x < 4}

(vi) G = {x : x ϵ N, x is even} and H {x : x ϵ N, x is prime}

(v) J = {x : x ϵ N, x is even} and K = {x : x ϵ N, x is odd}

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A A = {1, 2, 3, 4,}, B = {2, 4, 6, 8} and = {1, 4, 5, 6}, find:

(i) A’

(ii) B’

(iii) C’

(iv) (B’)’

(v) (A ∪ B)’

(vi) (A ∩ C)’

(vii) ( B – C)’