Show that if 

      A ⊂ B, then C – B ⊂ C – A.

State whether each of the following statement is true or false. Justify your answer. 

(i) {2, 3, 4, 5} and {3, 6} are disjoint sets. 

(ii) {a, e, i, o, u } and {a, b, c, d} are disjoint sets. 

(iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets. 

(iv) {2, 6, 10} and {3, 7, 11} are disjoint sets.  

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q? 

If X = {a, b, c, d} and Y = {f, b, d, g}, find 

(i) X – Y 

(ii) Y – X 

(iii) X ∩ Y 

Examine whether the following statements are true or false: 

(i) {a, b} ⊄ {b, c, a} 

(ii) {a, e} ⊂ {x: x is a vowel in the English alphabet} 

(iii) {1, 2, 3} ⊂{1, 3, 5} 

(iv) {a} ⊂ {a. b, c} (v) {a} ∈ (a, b, c) 

(vi) {x: x is an even natural number less than 6} ⊂ {x: x is a natural number which divides 36}