Question

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) {4, 5} ⊂ A
(v) ϕ ∈ A
(vi) ϕ ⊂ A

Answer 1

(i) False

Since, 1 is not an element of A.

(ii) True

Hence, {1,2,3} ∈ A this is correct form.

(iii) True.

Hence, {6, 7, 8} ∈ A.

(iv) True

Since, {{4, 5}} is a subset of A.

(v) False

Since, Φ is a subset of A, not an element of A.

(vi) True

Hence, Φ is a subset of every set, therefore it is a subset of A.