Let A = {ϕ, {ϕ}, 1, {1, ϕ}, 2}. Which of the following are true?

Question

(i) ϕ ∈ A

(ii) {ϕ} ∈ A

(iii) {1} ∈ A

(iv) {2, ϕ} ⊂ A

(v) 2 ⊂ A

(vi) {2, {1}} ⊄A

(vii) {{2}, {1}} ⊄ A

(viii) {ϕ, {ϕ}, {1, ϕ}} ⊂ A

(ix) {{ϕ}} ⊂ A

Asked by Aaryan | 1 year ago | 61

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Class 11 Maths Sets Add Answer

Class 11 Maths Sets View Answer

Class 11 Maths Sets View Answer

Class 11 Maths Sets View Answer

Class 11 Maths Sets View Answer

Class 11 Maths Sets View Answer

Accepted Answer

(i) True

Φ belongs to set A. Hence, true.

(ii) True

{Φ} is an element of set A. Hence, true.

(iii) False

1 is not an element of A. Hence, false.

(iv) True

{2, Φ} is a subset of A. Hence, true.

(v) False

2 is not a subset of set A, it is an element of set A. Hence, false.

(vi) True

{2, {1}} is not a subset of set A. Hence, true.

(vii) True

Neither {2} and nor {1} is a subset of set A. Hence, true.

(viii) True

All three {ϕ, {ϕ}, {1, ϕ}} are subset of set A. Hence, true.

(ix) True

{{ϕ}} is a subset of set A. Hence, true.

Answered by Sakshi | 1 year ago