Respuesta :
Answer: Yes it is possible
Here's an example
Original set = {1,2,3,5,7,11}
Subset A = {1,2,3}
Subset B = {3,5,7}
The number 3 is in both subsets A and B.
{1,2,3} is a subset of {1,2,3,5,7,11} since 1,2, and 3 are part of the original set. Similar reasoning applies to subset B as well.
Something like {1,2,9} is not a subset because 9 is not found in the original set.
Yes, a number of a set can also be an element of more then one subset.
We have a Set (say S) of elements.
We have to investigate whether or not a number of a set can also be an element of more then one subset.
In how many ways you can represent a Set?
There are two methods by which we can define the sets, these are -
- Set - builder form
- Roster form
Let's assume we have a Set as follows -
S = {0, 1, 2, 3, 4, 5, 6, 7, 8}
Let us make two subsets of this set as -
Set A = elements greater than 2
Set B = elements divisible by 2
Now, the elements of the above subsets are as follows -
A = { 3, 4, 5, 6, 7, 8 }
B = { 2, 4, 6, 8 }
It can be seen that in both the subsets - elements : 4, 6, 8 are common.
Hence, a number of a set can also be an element of more then one subset.
To solve more questions on Sets visit the link below -
https://brainly.com/question/18877138
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