Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}.

Question:

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

(i) $1 \in A$

(ii) 1, 2, 3A">{1, 2, 3}A1, 2, 3⊂A

(iii) 6, 7, 8A">{6, 7, 8}A6, 7, 8∈A

(iv) 4, 5A">{{4, 5}}A4, 5⊂A

(v) ϕA">ϕAϕ∈A

(vi) ϕA">ϕA

Solution:

(i) False

If it could be $1 \notin A$, then it would be true .

(ii) False

The correct form would be $\{1,2,3\} \in A$ or $\{\{1,2,3\}\} \subset A$.

(iii) True

(iv) True

(v) False'

A null set is a subset of every set. Therefore, the correct form would be $\phi \subset A$.

(vi) True

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now