Question

justify the trueness of the statement an element of a set can never be a subset of itself​

Answer 1

Answer:

Step-by-step explanation:

A subset(X) of a set(Y) is defined as the set containing some or all elements of that set(Y).

Now, let’s consider a set

Y = {1,2,3}

Set of all subsets of Y = {{1},{2},{3},{1,2}{2,3}{1,3}{1,2,3}{Φ}}

An element of a set (Y) can never be a subset of (Y). It has to be another set.

So, coming back to question “An element of a set can never be a subset of itself.”

Example:

Element 1 can’t be subset of Y.

Set containing 1 “ which is {1] ” is a subset of Y.

Here, “itself” denotes the parent set which is ‘Y’ in this case.

Answer 2

Step-by-step explanation:

false,It can the subset of other elements