Answer:
the answer is: [tex]\{3, 9\}[/tex]
Step-by-step explanation:
Given a set:
Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Two subsets,
One subset of odd numbers:
A = {1, 3, 5, 7, 9, 11, 13, 15, 17, ......}
Other subset of multiples of 3:
B = {3, 6, 9, 12, 15, .....}
To find:
Which number in set S are elements in both A and B.
So, we need to find intersection of A and B provided the number is between 1 to 10 (1 to 10 are the elements of S).
First of all, let us have intersection (i.e. common elements) of A and B:
[tex]A\cap B = \{3, 9, 15, 21, ......\}[/tex]
Now, the numbers between 1 to 10 are:
[tex]\{3, 9\}[/tex]
So, the answer is: [tex]\{3, 9\}[/tex]
