Q. 74.7( 6 Votes )

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) {2, ϕ} A

(v) 2 A

(vi) {2,{1}} A

(vii) {{2}}, {1}} A

(viii) {ϕ,{ϕ}, {1, ϕ}} A.

Answer :

(i) False


1 is not an element of A.


(ii) True


{1,2,3} ϵ A. this is correct.


(iii) True.


{6, 7, 8} ϵ A.


(iv) False


2 is not an element of A, and ϕ is also not an element of A. Hence, false.


(v) False


2 alone is not an element of A. Hence, false.


(vi) True


{1, 2, 3} is the set belonging to A. {2, {1}} does not belong to A.


(vii) True


{{2}}, {1}} does not belongs to A. Hence, true.


(viii) False


Φ does not belong to A.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz on Sets33 mins
Sets and Wavy Curve Methods - 0149 mins
Sets and Wavy Curve Methods - 0465 mins
Interactive Quiz :Sets and Wavy Curve Methods - 0663 mins
Sets and Wavy Curve Methods - 0754 mins
Sets and Wavy Curve Methods - 0354 mins
Sets and Wavy Curve Methods - 0958 mins
Sets and Wavy Curve Methods - 0850 mins
Sets and Wavy Curve Methods - 0565 mins
Sets and Wavy Curve Methods - 1252 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses