2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

(i) If x∈A and A∈B, then x∈B

(ii) If A⊂B and B∈C, then A∈C

(iii) If A⊂B and B⊂C, then A⊂C

(iv) If A⊄B and B⊄C, then A⊄C

(v) If x∈A and A⊄B, then x∈B

(vi) If A⊂B and x∉B, then x∉A

Sets

Miscellaneous Exercise

http://ncert-solutions-class-11-chapter-1-sets-miscellaneous-exercise-question-2
http://ncert-solutions-class-11-chapter-1-sets-miscellaneous-exercise-question-2