Q. 74.7( 6 Votes )

# Let A = {{1,2,3}, {4,5}, {6,7,8}}. Determine which of the following is true or false:

(i) 1 A

(ii) {1,2,3} ⊂ A

(iii) {6,7,8} A

(iv) {2, ϕ} ⊂ A

(v) 2 ⊂ A

(vi) {2,{1}} A

(vii) {{2}}, {1}} A

(viii) {ϕ,{ϕ}, {1, ϕ}} ⊂ A.

Answer :

(i) False

1 is not an element of A.

(ii) True

{1,2,3} ϵ A. this is correct.

(iii) True.

{6, 7, 8} ϵ A.

(iv) False

2 is not an element of A, and ϕ is also not an element of A. Hence, false.

(v) False

2 alone is not an element of A. Hence, false.

(vi) True

{1, 2, 3} is the set belonging to A. {2, {1}} does not belong to A.

(vii) True

{{2}}, {1}} does not belongs to A. Hence, true.

(viii) False

Φ does not belong to A.

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