MENU
Question -

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



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.

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×