Question

Consider the sets φ, A = {1, 3}, B{1, 5, 3}, C = {1, 3, 5, 7, 9}. Inset the symbol ⊂ or ⊄ between each of the following pair of sets: 

(i) φ……… B

(ii) A … B

(iii) A… C

(iv) B… C.

Answer 1

(i) φ ⊂ B, as empty set is a subset of every set 

(ii) A ⊄ B, ∵ 3 ∈ A ⇒ but 3∉ B 

(iii) A⊂ C, as 1, 3 ∈ A ⇒1,3 ∈ C 

(iv) B ⊂ C, as 1, 5, 9∈ A ⇒ 1, 5, 9 ∈ C.