Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the followi

1.	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» (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.

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»

(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.