Question

Class 11:
If a set is a part of a larger set, then is that set not a subset of that larger set?
eg: A = {1,2,{3,4},5}
is {3,4} a subset of A or is both a part of A and a subset of A?

Answer 1

Answer:

Step-by-step explanation:

clearly, any element of a set can be taken as a subset of the set.

ie., if A = {1,2,3,4,5}, then set {3} is clearly a subset of A

But in the given example (question),

you have a set as an element in the set A while other elements are just elements, which is not possible

ie., A = {1,2,{3,4},5} is not a set , bcoz it is not well defined.

A set is a collection of well-defined and distinct objects

if taken , the concept of powersets,

then your question will get the required answer,

A powerset of a set A is defined to the set of all subsets of A.

for eg.,

if A = {1,2,3}

then powerset of A = { {}, {1},{2},{3},{1,2},{1,3},{2,3},{1,2,3} }